Distributed assignment of video analytics tasks in cloud computing environments to reduce bandwidth utilization

ABSTRACT

Example task assignment methods disclosed herein for video analytics processing in a cloud computing environment include determining a graph, such as a directed acyclic graph, including nodes and edges to represent a plurality of video sources, a cloud computing platform, and a plurality of intermediate network devices in the cloud computing environment. Disclosed example task assignment methods also include specifying task orderings for respective sequences of video analytics processing tasks to be executed in the cloud computing environment on respective video source data generated by respective ones of the video sources. Disclosed example task assignment methods further include assigning, based on the graph and the task orderings, combinations of the video sources, the intermediate network devices and the cloud computing platform to execute the respective sequences of video analytics processing tasks to reduce an overall bandwidth utilized by the sequences of video analytics processing tasks in the cloud computing environment.

FIELD OF THE DISCLOSURE

This disclosure relates generally to video analytics processing in cloudcomputing environments and, more particularly, to distributed assignmentof video analytics tasks in cloud computing environments to reducebandwidth utilization.

BACKGROUND

Video analytics involves processing video data to detect and identifycontent, features, information, events, etc., contained in the videoframes represented by the video data. The use of video analytics isbecoming ever more pervasive in modern society given its ability toimprove convenience and security in a host of different applications.For example, video analytics can be used in a wide variety ofapplications, such as license plate detection for toll collection,facial recognition for passport control operations, object detection forairport screening, etc. Due to its associated processing requirements,video analytics applications can be natural candidates forimplementation in a cloud computing environment.

BRIEF DESCRIPTION OF THE DRAWINGS

FIGS. 1A-1B illustrate an example conventional assignment of videoanalytics processing tasks in an example cloud computing environment,and an example distributed assignment of video analytics processingtasks in the example cloud computing environment in accordance with theteachings of this disclosure.

FIGS. 2A-2B illustrates an example directed acyclic graph and examplemodel ordering, model parallelism and data parallelism properties thatmay be used to implement distributed assignment of video analyticsprocessing tasks in the example cloud computing environment of FIG. 1B.

FIG. 3 illustrates an example distributed video analytics taskassignment determined for the example cloud computing environment ofFIG. 1B based on the example directed acyclic graph and the examplemodel ordering, model parallelism and data parallelism properties ofFIGS. 2A-2B.

FIG. 4 is a block diagram of an example video analytics task schedulerthat may be used to implement distributed assignment of video analyticsprocessing tasks in the example cloud computing environment of FIG. 1Bbased on the example directed acyclic graph and the example modelordering, model parallelism and data parallelism properties of FIGS.2A-2B to achieve the example distributed video analytics task assignmentof FIG. 3.

FIG. 5 illustrates an example task assignment procedure to be performedby the example video analytics task scheduler of FIG. 4 to implementdistributed assignment of video analytics processing tasks in theexample cloud computing environment of FIG. 1B.

FIG. 6 illustrates an example implementation of an example cost functionto be evaluated by the example video analytics task scheduler of FIG. 4when performing the example task assignment procedure of FIG. 5.

FIG. 7 illustrates an example implementation of an example task orderingconstraint to be satisfied by the example video analytics task schedulerof FIG. 4 when performing the example task assignment procedure of FIG.5.

FIG. 8 illustrates an example implementation of an example resourceutilization constraint to be satisfied by the example video analyticstask scheduler of FIG. 4 when performing the example task assignmentprocedure of FIG. 5.

FIG. 9 illustrates an example implementation of an example bandwidthutilization constraint to be satisfied by the example video analyticstask scheduler of FIG. 4 when performing the example task assignmentprocedure of FIG. 5.

FIG. 10 is a flowchart representative of example machine readableinstructions that may be executed to implement the example videoanalytics task scheduler of FIG. 4 and/or to perform the example taskassignment procedure of FIG. 5.

FIG. 11 is a block diagram of an example processor platform structuredto execute the example machine readable instructions of FIG. 10 toimplement the example video analytics task scheduler of FIG. 4.

The figures are not to scale. Wherever possible, the same referencenumbers will be used throughout the drawing(s) and accompanying writtendescription to refer to the same or like parts, elements, etc.

DETAILED DESCRIPTION

Methods, apparatus, systems and articles of manufacture (i.e., physicalstorage media) to distribute assignment of video analytics tasks incloud computing environments to reduce bandwidth utilization aredisclosed herein. Example task assignment methods disclosed herein forvideo analytics processing in a cloud computing environment includedetermining a directed acyclic graph including nodes and edges torepresent video sources, a cloud computing platform, and intermediatenetwork devices in the cloud computing environment. The intermediatenetwork devices include those network elements, such as routers,gateways, etc., that communicate data from the video sources to thecloud computing platform. Disclosed example task assignment methods alsoinclude specifying task orderings for respective sequences of videoanalytics processing tasks to be executed in the cloud computingenvironment on respective video source data generated by respective onesof the video sources. Disclosed example task assignment methods furtherinclude assigning, based on the directed acyclic graph and the taskorderings, combinations of the video sources, the intermediate networkdevices and the cloud computing platform to execute the respectivesequences of video analytics processing tasks to reduce an overallbandwidth utilized by the sequences of video analytics processing tasksin the cloud computing environment.

In some disclosed examples, the nodes of the directed acyclic graphinclude a root node to represent the cloud computing platform, leafnodes (also referred to as edge nodes in some contexts) to represent thevideo source devices, and intermediate nodes to represent theintermediate network devices. In some disclosed examples, the edges ofthe directed acyclic graph include a first set of edges representingavailable communication paths between the video source devices and theintermediate network devices, and a second set of edges representingavailable communication paths between the intermediate network devicesand the cloud computing platform in the cloud computing environment.Furthermore, in some disclosed examples, the directed acyclic graphdefines, for each leaf node, one respective uplink data path from thatleaf node to the cloud computing platform.

For example, in some disclosed example task assignment methods, a firstleaf node of the directed acyclic graph corresponds to a first videosource, a first combination of nodes defines a first uplink path fromthe first leaf node to the cloud computing platform, and the assigningperformed by the methods includes assigning at least some of the firstcombination of nodes included in the first uplink path to execute afirst one of the sequences of video analytics processing tasks topreserve, along the first uplink path, a first task ordering for thefirst one of the sequences of video analytics processing tasks.Furthermore, in some such disclosed example task assignment methods,tasks ordered later in the first task ordering for the first one of thesequences of video analytics processing tasks are associated with lowerbandwidth utilization than tasks ordered earlier in the first taskordering for the first one of the sequences of video analyticsprocessing tasks. Accordingly, in some such disclosed example taskassignment methods, the assigning performed by the methods furtherincludes (1) assigning a first node in the first combination of nodes toexecute a first task in the first one of the sequences of videoanalytics processing tasks, the first node at a first position of thefirst uplink path, (2) assigning a second node in the first combinationof nodes to execute a second task in the first one of the sequences ofvideo analytics processing tasks, the second node at a second positionof the first uplink path subsequent to the first position, and (3)assigning the second node to execute each other task in the first one ofthe sequences of video analytics processing tasks ordered between thefirst task and the second task in the first task ordering.

Additionally or alternatively, in some disclosed example task assignmentmethods, the assigning performed by the methods is further based on aresource utilization constraint and a bandwidth utilization constraint.In some such examples, the resource utilization constraint is to ensureavailable processing resources represented by the leaf nodes and theintermediate nodes of the directed acyclic graph are not exceeded, andthe bandwidth utilization constraint is to ensure available bandwidthsrepresented by the first set of edges and the second set of edges of thedirected acyclic graph are not exceeded.

For example, in some such disclosed example task assignment methods, theassigning performed by the methods further includes iterativelydetermining different candidate assignments of respective combination ofthe video sources, the intermediate network devices and the cloudcomputing platform to execute the respective sequences of videoanalytics processing tasks associated with the video sources. Some suchdisclosed example task assignment methods also include, for a first oneof the candidate assignments: (1) evaluating a first matrix-basedequation to determine whether the first one of the candidate assignmentssatisfies the resource utilization constraint, (2) evaluating a secondmatrix-based equation to determine whether the first one of thecandidate assignments satisfies the bandwidth utilization constraint,and (3) retaining the first one of the candidate assignments when thefirst one of the candidate assignments utilizes a lower overallbandwidth in the cloud computing environment than a prior retainedsecond one of the candidate assignments.

Furthermore, in some such disclosed example task assignment methods, theassigning performed by the methods further includes defining dummy tasksto represent generation of the respective video source data by therespective ones of the video sources. Some such disclosed example taskassignment methods also include inserting the dummy tasks at initialpositions of the respective sequences of video analytics processingtasks associated with the respective ones of the video sources, andusing the respective sequences of video analytics processing tasksupdated to include the dummy tasks to evaluate the first and secondmatrix-based equations.

These and other example methods, apparatus, systems and articles ofmanufacture (e.g., physical storage media) to distribute assignment ofvideo analytics tasks in cloud computing environments to reducebandwidth utilization are disclosed in further detail below.

As noted above, video analytics is becoming ever more pervasive inmodern society given its ability to improve convenience and security ina host of different applications, such as license plate detection fortoll collection, facial recognition for passport control operations,object detection for airport screening, etc. Video analytics processingis also a natural candidate for implementation in a cloud computingenvironment due to its computationally intensive processingrequirements. However, conventional cloud computing implementationsassign most, if not all, of the video analytics processing tasks for agiven application to the cloud computing platform itself, with little tono video analytics processing being executed by other video sourcedevices and/or network devices external to the cloud computing platform.As a result, such conventional cloud computing implementations canutilize excessive network bandwidth to communicate the raw video datafrom the video source devices to the cloud computing platform for videoanalytics processing.

Unlike such conventional cloud computing implementations, the teachingsof the present disclosure provide technical solutions to the technicalproblem of excessive bandwidth utilization by video analyticsapplications in a cloud computing environment. For example, unlike suchconventional cloud computing implementations, distributed assignment ofvideo analytics processing tasks in accordance with the teaching of thisdisclosure offloads at least some of the video analytics processingtasks from the cloud computing platform to the video source devicesand/or other network devices in the cloud computing environment toreduce the overall network bandwidth utilized for video analyticsprocessing. As disclosed in further detail below, by assigning at leastsome of the video analytics processing tasks to the video source devicesand other network devices external to the cloud computing platform, theamount of data conveyed in an uplink direction from the video sources tothe cloud computing platform in the cloud computing environment can bereduced.

Video analytics processing can usually be modeled as an ordered sequenceof video analytics tasks to be performed on input video data, with taskslater in the sequence outputting data having lower bandwidthrequirements than earlier tasks in the sequence. This is referred toherein as the “model ordering property” of video analytics processing.For example, video analytics processing for license plate recognitionmay include a license plate detection task to detect an object in avideo frame that is consistent with a license plate, an opticalcharacter recognition (OCR) task to determine a license plate number ofa license plate detected by the license plate detection task, and acomparison task to compare the license plate number determined from theOCR task with a reference library to recognize the license plate numberand provide a pointer to a database containing registration details(e.g., vehicle owner, make, model, year, registration status, etc.)associated with the license plate number. In such an example, the outputof the license plate detection task may be an image, the output of theOCR task may be a string of characters (which has lower bandwidthattributes than the image output from the license plate detection task),and the output of the comparison task may be a pointer (e.g., such as amemory address, which may have lower bandwidth attributes that thestring of characters output from the OCR task).

Also, for a given video source, the ordered sequence of video analyticstasks can often be performed in parallel in a pipelined manner such thatearlier video data (e.g., video data associated with time t−1) can beprocessed by a video analytics task (e.g., the OCR task) that is laterin the ordered task sequence while later video data (e.g., video dataassociated with time t) can also be processed by a video analytics task(e.g., the license plate recognition task) that is earlier in theordered task sequence. This is referred to herein as the “modelparallelism property” of video analytics processing. Furthermore, videoanalytics processing of video data from different video data sources canoften be performed in parallel. This is referred to herein as the “dataparallelism property” of video analytics processing. As disclosed infurther detail below, example distributed video analytics taskassignment procedures disclosed herein take advantage of such modelordering, model parallelism and/or data parallelism properties todistribute assignment of data analytics processing tasks to video sourcedevices and other network devices external to the cloud computingplatform to reduce overall bandwidth utilization in the cloud computingenvironment.

For example, and as disclosed in further detail below, disclosed exampledistributed video analytics task assignment procedures utilize adirected acyclic graph (DAG) to represent the topology of the cloudcomputing environment. The DAG is further used to assign video sourcedevices and/or other network devices to execute video analyticsprocessing tasks in a manner that maintains the model ordering and modelparallelism properties of the particular video analytics applicationbeing implemented. Moreover, example distributed video analytics taskassignment procedures disclosed herein utilize an overall bandwidthutilization cost function in combination with one or more constraintfunctions to reduce, or even minimize, the overall network bandwidth tobe utilized in the cloud computing environment for video analyticsprocessing while also ensuring that constraints on the amounts ofindividual computing resources and/or bandwidths of the video sourcedevices and/or other network devices to be utilized for video analyticsprocessing are satisfied. In some examples, such cost and constraintfunctions are matrix-based to further take advantage of the dataparallelism properties of the particular video analytics applicationbeing implemented.

Turning to the figures, a block diagram of an example cloud computingenvironment 100 structured to support video analytics processingapplications is illustrated in FIGS. 1A-1B. FIG. 1A illustrates anexample conventional assignment 105 of video analytics processing tasksin the example cloud computing environment 100. FIG. 1B illustrates anexample distributed assignment 110 of video analytics processing tasksin the example cloud computing environment 100 in accordance with theteachings of this disclosure.

The example cloud computing environment 100 includes a group of one ormore example video sources 115 in communication with an example cloudcomputing platform 120 via a group of one or more intermediate networkdevices 125. In the illustrated example of FIGS. 1A-1B, the videosource(s) 115 can be implemented by any number(s) and/or type(s) ofvideo source devices and/or any other edge device(s) capable ofproducing video data. For example, the video source(s) 115 can includeone or more video cameras, computers, smartphones, image sensors, etc.In the illustrated example of FIGS. 1A-1B, the example cloud computingplatform 120 can be implemented by any number(s) and/or type(s) of cloudcomputing platforms, such as one or more cloud computing platformsprovided by Intel®, Amazon®, Google®, IBM®, Microsoft®, etc., and/or ahost of other cloud computing platform providers. In the illustratedexample of FIGS. 1A-1B, the intermediate network device(s) 125 can beimplemented by any number(s) and/or type(s) of network devices capableof routing and/or otherwise receiving and transmitting video data in anetwork. For example, the intermediate network device(s) 125 can includeone or more gateways, routers, bridges, servers, etc.

In the example cloud computing environment 100, the video source(s) 115are interconnected with (or, more generally, in communication with) theintermediate network device(s) 125 via a first set of examplecommunication paths 130, and the intermediate network device(s) 125 areinterconnected with (or, more generally, in communication with) thecloud computing platform 120 via a second set of example communicationpaths 135. (In some examples, a third set of example communicationpaths, not shown, may provide further interconnections between some orall of the intermediate network device(s) 125 to implement a robustnetworking topology.) In the illustrated example of FIGS. 1A-1B, thecommunications paths 130 and 135 can be implemented by any number(s)and/or type(s) of communication paths capable of conveying data betweendevices. For example, the communications paths 130 and 135 can beimplemented by one or more tunnels, data flows, links, channels, etc.,in one or more communication networks, such as the Internet.

As used herein, the phrase “in communication,” including variancesthereof, encompasses direct communication and/or indirect communicationthrough one or more intermediary components and does not require directphysical (e.g., wired) communication and/or constant communication, butrather additionally includes selective communication at periodic oraperiodic intervals, as well as one-time events.

In the illustrated example of FIGS. 1A-1B, the cloud computingenvironment 100 is to be used to implement an example license platevideo analytics application 140 that performs license plate recognitionon respective video data output from the different video sources 115.The example license plate video analytics application 140 of FIGS. 1A-1Bincludes a sequence of video analytics tasks including an examplelicense plate detection task 145, an example OCR task 150, and anexample comparison task 155. The example license plate detection task145 detects an object in a video frame that is consistent with a licenseplate. The example OCR task 150 determines a license plate number of alicense plate image detected by the license plate detection task 145.The example comparison task 155 compares the license plate numberdetermined from the OCR task 150 with a reference library to recognizethe license plate number and provide a pointer to a database containingregistration details (e.g., vehicle owner, make, model, year,registration status, etc.) associated with the license plate number.

In the illustrated example of FIGS. 1A-1B, the sequence of videoanalytics tasks implementing the example license plate video analyticsapplication 140 is an ordered sequence having a particular taskordering, with the example license plate detection task 145 to beperformed on video data output from a particular video source 115,followed by the OCR task 150 processing data output from the licenseplate detection task 145, followed by the comparison task 155 processingdata output from the OCR task 150. Furthermore, the ordered sequence ofvideo analytics tasks implementing the example license plate videoanalytics application 140 are such that tasks later in the sequenceoutput data having lower bandwidth requirements than earlier tasks inthe sequence. For example, the output of the license plate detectiontask 145 may be an image, the output of the OCR task 150 may be a stringof characters (which has lower bandwidth attributes than the imageoutput from the license plate detection task 145), and the output of thecomparison task 155 may be a pointer (e.g., such as a memory address,which may have lower bandwidth attributes than the string of charactersoutput from the OCR task 150).

In the example conventional video analytics task assignment 105illustrated in FIG. 1A, all of the video analytics processing tasks toperformed on the video data from the respective video sources 115 areassigned to the cloud computing platform 120. As such, the cloudcomputing platform 120 is assigned the license plate detection task 145,the OCR task 150 and the comparison task 155 for execution on eachstream of video data received from each video source 115, as shown. Sucha conventional task assignment places the bulk of the video analyticsprocessing at the cloud computing platform 120, but at the expense ofutilizing substantial network bandwidth to send the raw video data fromeach of the video sources 115 to the cloud computing platform 120 forprocessing by the license plate detection task 145, the OCR task 150 andthe comparison task 155. For example, if the video sources 115 output1080 p high definition video at 25 frames per second (fps), then eachvideo source 115 will utilize a bandwidth of approximately 27.2 Mbps inthe cloud computing environment 100. Thus, the total bandwidthutilization for the example conventional video analytics task assignment105 will be approximately L×27.2 Mbps, where L is the number of videosources 115. If the number of video sources 115 (L) providing raw videodata to be processed is large, the conventional video analytics taskassignment 105 may result in an impractical, or even impossible,solution depending on the amount of available bandwidth in the cloudcomputing environment 100.

In contrast, the distributed video analytics task assignment 110 of FIG.1B assigns, in accordance with the teachings of this disclosure, one ormore of the video analytics processing tasks of the example licenseplate video analytics application 140 to one or more of the videosources 115 and/or the intermediate network devices 125, which areexternal to the cloud computing platform 120 in the cloud computingenvironment 100. For example, the distributed video analytics taskassignment 110 illustrated in the example of FIG. 1B assigns, asdisclosed in further detail below, the video sources 115 to executerespective license plate detection tasks 145 on their respective videodata. The distributed video analytics task assignment 110 of theillustrated example also assigns the intermediate network devices 125 toexecute the OCR tasks 150 on respective output data, if any, receivedfrom the respective license plate detection tasks 145. The distributedvideo analytics task assignment 110 shown in the example of FIG. 1Bfurther assigns the cloud computing platform 120 to execute thecomparison task 155 on respective output data, if any, received from therespective OCR tasks 150.

The example distributed video analytics task assignment 110 of FIG. 1Breduces the overall bandwidth utilized by the example license platevideo analytics application 140 in the cloud computing environment 100relative to the example conventional video analytics task assignment105. For example, in the distributed video analytics task assignment110, the respective license plate detection tasks 145 executed by thevideo sources 115 may output no data (and, thus, utilize no bandwidth)if a license plate is not detected in the video data. Moreover, if alicense plate is detected, the respective license plate detection tasks145 can output video data representing just the image of the licenseplate, rather than the entire video frame. Accordingly, the bandwidthutilized by the license plate detection tasks 145 will be a fraction α(where α is given by, for example, a ratio of license plate area dividedby total video frame area) of the bandwidth (e.g., 27.2 Mbps) associatedwith the raw video data generated by each video source 115. Thus, thetotal bandwidth utilized on the example communication paths 130 for theexample license plate video analytics application 140 is less thanL×27.2α Mbps (because some license plate detection tasks 145 will outputno data when no license plate is detected), which is a fraction of thebandwidth utilized by the conventional video analytics task assignment105.

Relative to the conventional video analytics task assignment 105 of FIG.1A, the example distributed video analytics task assignment 110 of FIG.1B results in an even further bandwidth reduction on the examplecommunication paths 135 of the cloud computing environment 100. Forexample, in the distributed video analytics task assignment 110, the OCRtask 150 executed by the respective intermediate network device 125 mayoutput no data (and, thus, utilize no bandwidth) if a license plate wasnot detected by its respective input license plate detection task 145.Moreover, if a license plate is detected, the respective OCR task 150can output metadata representing just the license plate number, ratherthan video data. Accordingly, the bandwidth utilized on the examplecommunication paths 135 of FIG. 1B by the OCR tasks 150 will beapproximately L×the number of bits used to represent the license platenumber (or less when no license plate is detected), which will besubstantially less than the L×27.2 Mbps utilized by the conventionalvideo analytics task assignment 105 of FIG. 1A.

The example distributed video analytics task assignment 110 of FIG. 1Btakes advantage of the model ordering, model parallelism and dataparallelism properties of the video analytics processing to be performedin the example cloud computing environment 100. To determine adistributed task assignment, such as the example distributed videoanalytics task assignment 110 of FIG. 1B, disclosed example distributedvideo analytics task assignment procedures utilize a directed acyclicgraph (DAG) to represent the topology of the cloud computing environment100, which includes the devices and communication path in theenvironment 100, as well as the available computing resources andbandwidth resources for the devices and communication paths in theenvironment 100. Disclosed example distributed video analytics taskassignment procedures further utilize the DAG to assign one or more ofthe video source devices 115 and/or intermediate network devices 125 toexecute the video analytics processing tasks (e.g., the tasks 145-155)in a manner that maintains the model ordering, model parallelism anddata parallelism properties of the particular video analyticsapplication (e.g., the application 140) being implemented in the cloudcomputing environment 100.

An example directed acyclic graph (DAG) 200 for use by exampledistributed video analytics task assignment procedures disclosed hereinto assign one or more of the example video source devices 115 and/or theexample intermediate network devices 125 to execute the video analyticsprocessing tasks in the example cloud computing environment 100 of FIG.1B is illustrated in FIGS. 2A-2B. The example DAG 200 includes examplenodes (corresponding to circles in FIGS. 2A-2B) to represent thephysical and/or logical devices included in the cloud computingenvironment 100. For example, the DAG 200 includes example leaf nodes215A-D (also referred to as leaf nodes 215A-D) representing the examplevideo sources 115 of FIG. 1B, and an example root node 220 representingthe example cloud computing platform 120 of FIG. 1B. The DAG 200 of theillustrated example further includes example intermediate nodes 225A-Brepresenting the example intermediate network devices 125 of FIG. 1B.

The example DAG 200 also includes edges (represented by directed linesin FIGS. 2A-2B) to represent the uplink, or upstream, communicationpaths between the devices represented by the nodes of the DAG 200. Forexample, the DAG 200 includes a first set of example edges 230A-Drepresenting the example communication paths 130 between the examplevideo sources 115 and the example intermediate network devices 125 ofFIG. 1B. The DAG 200 of the illustrated example also includes a secondset of example edges 235A-B representing the example communication paths135 between the example intermediate network devices 125 and the examplecloud computing platform 120 of FIG. 1B. (Although not shown, in someexample, the DAG 200 can include additional set(s) of edges to representadditional communication paths between some or all of the intermediatenetwork devices 125.)

In the example DAG 200 of FIGS. 2A-2B, the leaf nodes 215A-D andintermediate nodes 225A-B are associated with respective computingresource capacities corresponding to the respective devices theyrepresent. (The computing resource capacities of the cloud computingplatform 120 are assumed to have no impact on task assignment, in atleast some examples.) For example, such computing resource capacitiescan include central processing unit (CPU) cycles, graphical processingunit (GPU) cycles, memory capacity, etc., available at the respectivedevice for executing one or more video analytics tasks. In the exampleDAG 200, the edges 230A-D and 235A-B represent the connectivity betweenthe nodes of the DAG 200, and are associated with respective bandwidthcapacities specifying, for example, the amount of bandwidth availablefor carrying data associated with one or more video analytics tasks.

As illustrated in the examples of FIG. 2A-2B, a DAG, such as the exampleDAG 200, defines one respective uplink data path from each leaf node215A-D (representing its respective video source 115) to the root node220 (representing the cloud computing platform 120). For instance, inthe example DAG 200, the leaf node 215A has one uplink data path to theroot node 220, namely, from the leaf node 215A along the edge 230A tothe intermediate node 225A, and from the intermediate node 225A alongthe edge 235A to the root node 220. Similarly, in the example DAG 200,the leaf node 215B has one uplink data path to the root node 220,namely, from the leaf node 215B along the edge 230B to the intermediatenode 225A, and from the intermediate node 225A along the edge 235A tothe root node 220. Similarly, in the example DAG 200, the leaf node 215Chas one uplink data path to the root node 220, namely, from the leafnode 215C along the edge 230C to the intermediate node 225B, and fromthe intermediate node 225B along the edge 235B to the root node 220.Similarly, in the example DAG 200, the leaf node 215D has one uplinkdata path to the root node 220, namely, from the leaf node 215D alongthe edge 230D to the intermediate node 225B, and from the intermediatenode 225B along the edge 235B to the root node 220.

FIG. 2A also illustrates the model ordering and parallelism propertiesof example video analytics tasks to be assigned by disclosed exampledistributed video analytics task assignment procedures to implement anexample video analytics application 240 in the example cloud computingenvironment 100. In the illustrated example of FIG. 2A, the videoanalytics application 240 can be divided into three (3) tasks, such asan example video analytics task 245, an example video analytics task 250and an example video analytics task 255, which are to be performed onrespective video data generated at (or otherwise associated with)respective ones of the leaf nodes 215A-D of the DAG 200. Each of thevideo analytics processing tasks 245-255 is associated with a respectiveset of processing requirements, such as CPU cycles, GPU cycles, memorycapacity, etc. Furthermore, the example video analytics task 245, theexample video analytics task 250 and the example video analytics task255 have a specific task ordering (which is represented in FIG. 2A bythe directed lines in connecting the tasks 245, 250 and 255), whichcorresponds to the model ordering property of the example videoanalytics application 240.

Also, for a given leaf node 215A-D, the ordered sequence of examplevideo analytics tasks 245-255 can often be performed in parallel in apipelined manner such that earlier video data (e.g., video dataassociated with time t−1) associated with a given leaf node 215A-D canbe processed by a video analytics task (e.g., the task 250) that islater in the ordered task sequence while later video data (e.g., videodata associated with time t) associated with the same leaf node 215A-Dcan also be processed by a video analytics task (e.g., the task 245)that is earlier in the ordered task sequence. This is referred to as themodel parallelism property of the example video analytics application240. For example, the video analytics application 240 can correspond tothe example license plate video analytics application 140 of FIG. 1B,with the example video analytics tasks 245-255 corresponding to theexample license plate detection task 145, the example OCR task 150 andthe example comparison task 155, respectively. As such, the examplelicense plate detection task 145 exhibits model ordering and modelparallelism properties similar to the example video analyticsapplication 240. As another example, the video analytics application 240can correspond to a facial recognition application, with the examplevideo analytics tasks 245-255 corresponding to a skintone filteringtask, a face detection task and a face identification task,respectively. As such, this facial recognition application exhibitsmodel ordering and model parallelism properties similar to the examplevideo analytics application 240.

FIG. 2B further illustrates the data parallelism property of examplevideo analytics tasks to be assigned by disclosed example distributedvideo analytics task assignment procedures to implement an example videoanalytics application 240 in the example cloud computing environment100. In the illustrated example of FIG. 2B, the example video analyticstask 245, the example video analytics task 250 and the example videoanalytics task 255 of the video analytics application 240 are able to beperformed in parallel on different video data generated at (or otherwiseassociated with) different ones of the leaf nodes 215A-D. For example, afirst sequence of the video analytics tasks 245, 250 and 255, which isrepresented as a sequence of example video analytics tasks 245A, 250Aand 255A in FIG. 2B, is performed on video data associated with theexample leaf node 215A in parallel with a second sequence of the videoanalytics tasks 245, 250 and 255, which is represented as a sequence ofexample video analytics task 245B, 250B and 255B, being performed onvideo data associated with the example leaf node 215B. This processingcan further be performed in parallel with a third sequence of the videoanalytics tasks 245, 250 and 255, which is represented as a sequence ofexample video analytics tasks 245C, 250C and 255C, being performed onvideo data associated with the example leaf node 215C. This processingcan further be performed in parallel with a fourth sequence of the videoanalytics tasks 245, 250 and 255, which is represented as a sequence ofexample video analytics tasks 245D, 250D and 255D, being performed onvideo data associated with the example leaf node 215D.

An example distributed video analytics task assignment for implementingthe example video analytics application 240 in the example cloudcomputing environment 100 of FIG. 1B, which can be determined using onthe example DAG 200 and the model ordering, model parallelism and dataparallelism properties of FIGS. 2A-2B in accordance with the teachingsof this disclosure, is illustrated in FIG. 3. As disclosed in furtherdetail below, the example distributed video analytics task assignment ofFIG. 3 is determined by an example video analytics task schedulerdisclosed herein to assign the video analytics tasks 245A-D, 250A-D and255A-D of the example video analytics application 240 to combinations ofone or more of the leaf nodes 215A-D, the intermediate nodes 225A-Band/or the root node 220 of the DAG 200 with an objective to reduce, oreven minimize, the overall bandwidth (e.g., determined as a sum of theindividual utilized bandwidths) utilized on the edges 230A-D and 235A-Bof the DAG 200, while also satisfying the constraints that the computingresource and bandwidth capacities of the nodes 215A-D and 225A-B and theedges 230A-D and 235A-B are not exceeded by the computing resource andbandwidth requirements of the video analytics tasks 245A-D, 250A-D and255A-D, and while satisfying the constraints that the video analyticstasks 245A-D, 250A-D and 255A-D are performed according to the modelordering, model parallelism and data parallelism properties of theexample video analytics application 240.

In FIG. 3, this objective is met by the illustrated example distributedvideo analytics task assignment as follows. For the leaf node 215A(which corresponds to a first one of the video sources 115), the videoanalytics task 245A is executed by leaf node 215A, and the videoanalytics tasks 250A and 255A are executed by the intermediate node 225A(which corresponds to a first one of the intermediate network devices125). For the leaf node 215B (which corresponds to a second one of thevideo sources 115), the video analytics task 245B is executed by leafnode 215B, and the video analytics tasks 250B is executed by theintermediate node 225A, and the video analytics tasks 255B is executedby the root node 220 (which corresponds to the cloud computing platform120). For the leaf node 215C (which corresponds to a third one of thevideo sources 115), the video analytics tasks 245C, 250C and 255C areexecuted by leaf node 215C. For the leaf node 215D (which corresponds toa fourth one of the video sources 115), the video analytics task 245D isexecuted by leaf node 215D, and the video analytics tasks 250D isexecuted by the intermediate node 225B (which corresponds to a secondone of the intermediate network devices 125), and the video analyticstasks 255D is executed by the root node 220. As illustrated in FIG. 3,the example distributed video analytics task assignment preserves themodel ordering, model parallelism and data parallelism properties byensuring, for example, that the sequence of video analytics tasksassociated with a given leaf node 215A-D are performed in order alongthe respective uplink path from that leaf node to the root node 220, andthat there are sufficient computing resources and bandwidth at theassigned nodes and along the corresponding edges to allow the tasks tobe executed in parallel. For example, the illustrated exampledistributed video analytics task assignment assumes that node 225A hassufficient computing resources and output bandwidth to execute tasks250A, 255A and 250B in parallel, and that node 215C has sufficientcomputing resources and output bandwidth to execute tasks 245C, 250C and255C in parallel.

A block diagram of an example video analytics task scheduler 400structured to implement an example distributed video analytics taskassignment procedure to assign video analytics tasks in cloud computingenvironments, such as the example cloud computing environment 100, inaccordance with the teachings of this disclosure is illustrated in FIG.4. The example video analytics task scheduler 400 of FIG. 4 includes anexample user interface 405 to accept an example network topology 410describing the example cloud computing environment 100 in which videoanalytics tasks are to be assigned for execution. The user interface 405of the illustrated example also accepts example applicationcharacteristics 415 describing characteristics of the video analyticsapplication whose video analytics tasks are to be assigned for executionin the cloud computing environment 100. As such, the example userinterface 405 can be implemented by any number(s) and/or type(s) ofinterfaces, such as a graphical user interface (GUI) to accept userinput data, a command line interface to accept user input data, a datainterface to accept files, messages, etc., formatted to contain dataspecifying the network topology 410 and/or the applicationcharacteristics 415, etc.

In the illustrated example of FIG. 4, the network topology 410 includesdata identifying the example video sources 115, the example intermediatenetwork devices 125 and the example cloud computing platform 120. Theexample network topology 410 also includes data identifying the examplecommunication paths 130 and 135, and specifying the architecture/layoutof interconnections among the example video sources 115, the exampleintermediate network devices 125 and the example cloud computingplatform 120 using the communication paths 130 and 135. The examplenetwork topology 410 of the illustrated example further specifies thecomputing resource capacities (e.g., CPU cycles, GPU cycles, memorycapacity, etc., available for executing one or more video analyticstasks) of the example video sources 115 and the example intermediatenetwork devices 125, and the bandwidth capacities (amount of bandwidthavailable for carrying data associated with one or more video analyticstasks) of the communication paths 130 and 135. As such, the networktopology 410 can be represented in any data format, such as a binaryfile, a text file, a database, etc.

In the illustrated example, the application characteristics 415 includedata identifying sequences of video analytics tasks, such as the exampletasks 245A-D, 250A-D, 255A-D, included in the video analyticsapplication to be executed in the cloud computing environment 100. Theexample application characteristics 415 also include data specifyingtask orderings (or, in other words, the model orderings) for thesequences of video analytics tasks. (In the illustrated example, thevideo analytics tasks are presumed to exhibit the model and dataparallelism properties described above.). The example applicationcharacteristics 415 of the illustrated example further include dataspecifying the processing requirements (e.g., CPU cycles, GPU cycles,memory capacity, etc.) for respective ones of the video analytics tasks(e.g., such as the processing requirements for respective ones of thevideo analytics tasks 245A-D, 250A-D, 255A-D. As such, the applicationcharacteristics 415 can be represented in any data format, such as abinary file, a text file, a database, etc.

The example video analytics task scheduler 400 further includes examplestorage 420 to store the example network topology 410 and the exampleapplication characteristics 415 obtained by the user interface 405. Theexample storage 420 can be implemented by any number(s) and/or type(s)of storage and/or memory device, a database, etc. For example, thestorage 420 can be implemented by the mass storage device 1128 and/orthe volatile memory 1114 included in the example processing system 1100of FIG. 11, which is described in greater detail below.

The video analytics task scheduler 400 of the illustrated exampleincludes an example directed acyclic graph determiner 425 to determine adirected acyclic graph, such as the example DAG 200, for the examplecloud computing environment 100 based on the example network topology410. For example, the directed acyclic graph determiner 425 accesses thenetwork topology 410 from the storage 420 and constructs a DAG, such asthe DAG 200, having example nodes 215A-D, 225A-B and 220 corresponding,respectively, to the example video sources 115, the example intermediatenetwork devices 125 and the example cloud computing platform 120identified in the example network topology 410. The directed acyclicgraph determiner 425 also constructs the DAG 200 to interconnect thenodes 215A-D, 225A-B and 220 with example edges 230A-D and 235A-Bcorresponding, respectively, to the example communication paths 130 and135 identified in the example network topology 410.

Stated mathematically, the example directed acyclic graph determiner 425determines a DAG, G_(d), represented as G_(d)=<V_(d), E_(d)>, whereV_(d) represents the set of nodes (e.g., nodes 215A-D, 225A-B and 220)corresponding to the example devices (e.g., devices 115, 125 and 120)included in the example cloud computing environment 100, and E_(d)represents the set of edges (e.g., edges 230A-D and 235A-B)corresponding to the example communication paths (e.g., thecommunication paths 130 and 135) included in the example cloud computingenvironment 100, and which connects the nodes V_(d) in accordance withthe network topology 410. The DAG G_(d)=<V_(d), E_(d)> determined by theexample directed acyclic graph determiner 425 also includes, for eachnode V_(d), a function ƒ_(d):V_(d)→R that represents the computingresource capacity specified in the network topology 410 for the devicecorresponding to that node V_(d). The DAG G_(d)=(V_(d), E_(d))determined by the example directed acyclic graph determiner 425 furtherincludes, for each edge E_(d), a function g_(d):E_(d)→R that representsthe bandwidth capacity specified in the network topology 410 for thecommunication path corresponding to that node edge E_(d). In theillustrated example, the functions ƒ_(d):V_(d)→R and g_(d):E_(d)→R map,respectively, the specified computing resource capacities and bandwidthcapacities to real numbers for further use by the example videoanalytics task scheduler 400, as described in detail below. However, inother example, the functions ƒ_(d):V_(d) and/or g_(d):E_(d) could mapthe specified computing resource capacities and/or bandwidth capacitiesto compound data types.

The video analytics task scheduler 400 of the illustrated example alsoincludes an example task ordering specifier 430 to specify a taskordering for the sequences of video analytics tasks identified in theapplication characteristics 415. For example, the task orderingspecifier 430 accesses the application characteristics 415 from thestorage 420 and uses that data to specify task orderings of therespective sequences of video analytics tasks 245A-D, 250A-D, 255A-D, tobe performed on video source data generated or otherwise obtained at thevideo sources 115 corresponding to the leaf nodes of the DAG determinedby the directed acyclic graph determiner 425. Stated mathematically, theexample task ordering specifier 430 determines task orderings, G_(s),represented as G_(s)=<V_(s), E_(s)>, which is a totally ordered set inwhich V_(s) represents the set of video analytics tasks 245A-D, 250A-D,255A-D (also referred to as jobs) to be executed in the example cloudcomputing environment 100, and E_(s) represents thedependencies/communication between the sequences of the video analyticstasks V_(s). The task ordering G_(s)=<V_(s), E_(s)> determined by theexample task ordering specifier 430 also includes, for each task V_(s),a function ƒ_(s):V_(s)→R that represents the computing resourcerequirements specified in the application characteristics 415 for thattask V_(s). The task ordering G_(s)=<V_(s), E_(s)> determined by theexample task ordering specifier 430 further includes, for each taskinterdependency E_(s), a function g_(s):E_(s)→R that represents thebandwidth requirements associated with that task interdependency E_(s).In the illustrated example, the functions ƒ_(s):V_(s)→R andg_(s):E_(s)→R map, respectively, the specified computing resourcerequirements and bandwidth requirements to real numbers for further useby the example video analytics task scheduler 400, as described indetail below. However, in other example, the functions ƒ_(s):V_(s)and/or g_(s):E_(s) could map the specified computing resource capacitiesand/or bandwidth capacities to compound data types.

The video analytics task scheduler 400 of the illustrated examplefurther includes an example candidate assignment determiner 435, anexample constraint evaluator 440 and an example task assignment selector445 to implement an example distributed video analytics task assignmentprocedure in accordance with the teachings of this disclosure. In theillustrated example, the distributed video analytics task assignmentprocedure implemented by the candidate assignment determiner 435, theconstraint evaluator 440 and the task assignment selector 445 assignscombinations of the video sources 115, the intermediate network devices125 and the cloud computing platform 120 specified in the networktopology 410 to execute the respective sequences of video analyticstasks specified in the application characteristics 415, with theassignment based on the DAG determined by the directed acyclic graphdeterminer 425 and the task orderings determined by the task orderingspecifier 430. Furthermore, the distributed video analytics taskassignment procedure implemented by the candidate assignment determiner435, the constraint evaluator 440 and the task assignment selector 445operates to perform such a task assignment to reduce (or even minimize)an overall bandwidth utilized by the sequences of video analyticsprocessing tasks in the cloud computing environment 100.

An example distributed video analytics task assignment procedure 500implemented by the example candidate assignment determiner 435, theexample constraint evaluator 440 and the example task assignmentselector 445 of the example video analytics task scheduler 400 of FIG. 4is illustrated in FIGS. 5-9. Turning to FIG. 5, the distributed videoanalytics task assignment procedure 500, which is also referred to asthe example task assignment procedure 500, yields a task assignment thatassigns combinations of the devices 115-125 in the cloud computingenvironment 100 to execute the respective sequences of video analyticstasks specified in the application characteristics 415, with the taskassignment based on the DAG determined by the directed acyclic graphdeterminer 425 and the task orderings determined by the task orderingspecifier 430. The task assignment procedure 500 of the illustratedexample further operates to determine an output task assignment suchthat an example upstream cost 505 is reduced, or minimized, relativeother possible candidate task assignment, while ensuring the output taskassignment satisfies a set of example constraints 510-525.

For example, the upstream cost 505, which is further illustrated in FIG.6, defines a metric representing the overall bandwidth utilized by therespective sequences of video analytics tasks specified in theapplication characteristics 415 when assigned to the devices 115-125 inthe cloud computing environment 100 according to the output taskassignment. In the illustrated example, the constraint functions 510-525include an example resource utilization constraint 510, an examplebandwidth utilization constraint 515, an example ordering constraint 520and an example single choice constraint 525. The example resourceutilization constraint 510, which is further illustrated in FIG. 8,ensures that the output task assignment determined by task assignmentprocedure 500 ensure available processing resources represented by theleaf nodes and the intermediate nodes of the DAG determined by thedirected acyclic graph determiner 425 (and which correspond to theavailable processing resources of the devices 115-125 represented bythose nodes) are not exceeded by the output task assignment. The examplebandwidth utilization constraint 515, which is further illustrated inFIG. 9, ensures available bandwidths represented by the sets of edges ofthe directed acyclic graph (and which correspond to the availablebandwidths of the communication paths 130-135 represented by thoseedges) are not exceeded by the output task assignment. The exampleordering constraint 520, which is further illustrated in FIG. 7, ensuresthat the respective sequence of video analytics tasks specified in theapplication characteristics 415 for a particular path are assigned to acombination of nodes of the DAG that are included in the uplink path forthat video source in a manner that preserves the task ordering for thatrespective sequence of video analytics tasks. The example single choiceconstraint 525 ensures that each node of the DAG in the uplink path fora given video source outputs data for only one of the tasks in thatsource's sequence of video analytics tasks. The combination of theordering constraint 520 and the single choice constraint 525 providethat multiple video analytics tasks for a given video source can beassigned to one node of the DAG (corresponding to the device 115-125represented by that node), but the tasks will be performed in order andonly the last task in the group will output data from the node. In theillustrated example task assignment procedure 500, it is assumed thattasks ordered later in the task ordering for a particular sequence ofvideo analytics tasks are associated with lower bandwidth utilizationthan tasks ordered earlier in the task ordering for the particularsequence of video analytics tasks.

Definitions of some of the variables utilized by the example taskassignment procedure 500 are provided in Table 1.

TABLE 1 Variable Definition M Number of devices 115-125 included in thecloud computing environment 100 (which also corresponds to the number ofnodes in the DAG) L Number of video source devices 115 included in thecloud computing environment 100 (which also corresponds to the number ofleaf nodes in the DAG) f The depth of the DAG, which corresponds to themaximum number of levels from an leaf node to the root node in the DAG(e.g., f = 3 for the example DAG 200 of FIGS. 2A-2B, but other exampleDAGs could have other numbers of levels of nodes) N Number of tasks in asequence of video analytics tasks to be performed on video data from agiven video source x_(i) ^(j) A last task assignment vector representingthe last task in the sequence of video analytics tasks assigned to thej^(th) device in the uplink data path of the DAG for the i^(th) videosource ST_(n) The n^(th) task in the sequence of video analytics tasks;thus, the sequence of tasks can be represented by the ordered sequenceT: ST₁ → ST₂ → . . . → ST_(N) UB_(n) The bandwidth required by then^(th) task in the sequence of video analytics tasks sr_(n) Thecomputing resources required by the n^(th) task in the sequence of videoanalytics tasks

As noted in Table 1, the sequence of video analytics tasks (ST_(n)) tobe performed for a given video source is represented by the orderedsequence T: ST₁→ST₂→ . . . →ST_(N). The example task assignmentprocedure 500 of FIG. 5 also defines dummy tasks, ST₀, which representsgeneration of the raw video data by the respective video source. Thedummy tasks are associated with respective required bandwidths UB₀ thatcorrespond to the required bandwidths for the raw video data generatedby the respective video sources. The dummy tasks are also associatedwith computing resource requirements of zero. The example taskassignment procedure 500 inserts these dummy tasks at the initialpositions of the respective sequences of video analytics tasks for therespective video sources. For a given video source, this modifiedsequence of video analytics tasks can be represented by the orderedsequence T′: ST₀→ST₁→ST₂→ . . . ST_(N). The example task assignmentprocedure 500 uses these modified sequences of video analytics tasks,which include the dummy tasks ST₀, to evaluate matrix-based equationsrepresenting the example resource utilization constraint 510 and theexample bandwidth utilization constraint 515, which are discussed infurther detail below.

Execution of the example task assignment procedure 500 by the examplecandidate assignment determiner 435, the example constraint evaluator440 and the example task assignment selector 445 of the example videoanalytics task scheduler 400 of FIG. 4 is now described. In someexamples, the candidate assignment determiner 435, the constraintevaluator 440 and the task assignment selector 445 implement the exampletask assignment procedure 500 with integer linear programming. Forconvenience, but without loss of generality, it is assumed that thedirected acyclic graph determiner 425 determined the example DAG 200 ofFIGS. 2A-2B and 3 to represent the cloud computing environment 100, andthe task orderings determined by the task ordering specifier 430correspond to the respective sequences of tasks 245A-D, 250A-D and255A-D illustrated in FIGS. 2A-2B and 3. The candidate assignmentdeterminer 435 of the illustrated example iteratively determinesrespective candidate assignments that assign DAG nodes to execute tasksin the respective sequences of video analytics tasks for the respectivevideo sources.

For example, for a given video source 115, such as the sourcecorresponding to leaf node 215 a in the DAG 200, the respective sequenceof video analytics tasks T: ST₁→ST₂→ST₃ for that leaf node is theordered sequence of tasks T: {245 a→250 a→255 a}. The candidateassignment determiner 435 of the illustrated example determines acandidate assignment of nodes to execute this sequence of videoanalytics tasks T: {245 a→250 a→255 a} by using the DAG 200 to identifythe combination of nodes in the uplink path from leaf node 215 a to theroot node 220 corresponding to the cloud computing platform 120, whichin this example is the ordered combination of nodes {215 a, 225 a, 220}.Then, for the video source 115 corresponding to leaf node 215 a, thecandidate assignment determiner 435 assigns at least some (e.g., one ormore) of the combination of nodes {215 a, 225 a, 220} to execute thesequence of video analytics tasks T: {245 a→250 a→255 a} in a mannerthat preserves the task ordering along the uplink path defined by theordered combination of nodes {215 a, 225 a, 220}. For example, thecandidate assignment determiner 435 could assign the node 215 a toexecute the task 245 a, assign the node 225 a to execute the tasks 250 aand 255 a in order, and not assign any tasks to the root node 220, asshown in the example of FIG. 3. For a given processing iteration, theexample candidate assignment determiner 435 would continue to determinecandidate task assignments in a similar manner for the other ones of thevideo sources 115 represented by the other leaf nodes 215 b-d in the DAG200.

In some examples, the candidate assignment determiner 435 utilizes thelast task assignment vector x_(i) ^(j) defined in Table 1 to determine,for a given processing iteration, the respective candidate taskassignment associated with a given leaf node of the DAG 200. As noted inTable 1, the last task assignment vector x_(i) ^(j) is a vectorrepresenting the last task in the sequence of video analytics tasksassigned to the j^(th) device in the uplink data path of the DAG for thei^(th) video source. In some examples, for each node in the uplink datapath from a given leaf node to the root node of the DAG 200, thecandidate assignment determiner 435 determines a last task in thesequence of video analytics tasks to be processed by that node. Then,for nodes at adjacent positions in the uplink data path, the candidateassignment determiner 435 looks at the last task assigned to thepreceding node and the last task assigned to the subsequent node andassigns any intervening video analytics tasks in the sequence to thesubsequent node.

For example, if the leaf node 215 a of the DAG 200 corresponds to i=1,and the ordered combination of nodes {215 a, 225 a, 220} corresponds toj={1, 2, 3}, then in such an example, the candidate assignmentdeterminer 435 would determine the last task assignment vector x₁ ¹ fornode 215 a to be x₁ ¹=[1 0 0]^(T), where the first position in thevector corresponds to the first task (245 a) in the sequence, the secondposition corresponds to the second task (250 a) in the sequence, and thethird position corresponds to the third task (255 a) in the sequence.Thus, the last task assignment vector x₁ ¹=[1 0 0]^(T) indicates thatthe task 245 a is the last task in the sequence for leaf node 215 a(i=1) to be executed by node 215 a (j=1). Continuing, in this example,the candidate assignment determiner 435 would determine the last taskassignment vector x₁ ² for node 225 a to be x₁ ²=[0 0 1]^(T), whichindicates that the task 255 a is the last task in the sequence for leafnode 215 a (i=1) to be executed by node 225 a (j=2). In this example,the candidate assignment determiner 435 would then assign anyintervening tasks between the last task to be executed by node 215 a(j=1) and the last task to be executed by node 225 a (j=2) for executionby node 225 a (j=2), which is at the subsequent position along theuplink data path for leaf node 225 a. Thus, in this example, thecandidate assignment determiner 435 would also assign task 250 a forexecution by the node 225 a (j=2).

After the candidate assignment determiner 435 determines the candidatetask assignments of respective combinations of nodes of the DAG 200 toexecute the respective sequences of video analytics tasks associatedwith the respective video sources represented by the leaf nodes of theDAG, the example constraint evaluator 440 determines whether the exampleresource utilization constraint 510 and the example bandwidthutilization constraint 515 are satisfied for the candidate taskassignments. (In the illustrated example, the candidate assignmentdeterminer 435 ensures that the example ordering constraint 520 and theexample single choice constraint 525 are satisfied for the candidatetask assignments.) The example resource utilization constraint 510ensures that the respective resources capacities, represented by R₁, . .. , R_(M), for the M devices in the cloud computing environment 100 arenot exceeded by the combination of candidate task assignments for therespective video sources. The example bandwidth utilization constraint515 ensures that the respective bandwidth capacities, represented by U₁,. . . , U_(M), for the M of the respective communication paths at theoutputs of the M devices in the cloud computing environment 100 are notexceeded by the combination of candidate task assignments for therespective video sources.

As illustrated in the example of FIG. 8, the example constraintevaluator 440 evaluates an example matrix-based equation to determinewhether the resource utilization constraint 510 is satisfied. Evaluationof the matrix-based equation for the resource utilization constraint 510involves multiplying a matrix Ar_(i) ^(j) by the vector (x_(i)^(j)−x_(i) ^(j−1)) at each node in the DAG in the uplink path (i) andDAG level (j) associated the leaf node (i) in the DAG 200. The matrixAr_(i) ^(j) is an M×(N+1) matrix, with the rows corresponding torespective nodes in the DAG 200 (representing the devices in the cloudcomputing environment 100), and the columns corresponding to thecomputing resource requirements for the sequence of analytics processingtasks to be performed on the video source data generated by leaf nodes(i). The matrix Ar_(i) ^(j) is a sparse matrix, with the rows havingzero values unless the particular row of the matrix corresponds to thedevice at the (i, j) position in the DAG 200 (e.g., if D_(j)^((i))=D_(k) in FIG. 9). The vector (x_(i) ^(j)−x_(i) ^(j−1)) is thedifference between the last task assignment vectors at the adjacentpositions j and (j−1) in the DAG 200. As shown in FIG. 8, the constraintevaluator 440 evaluates the matrix Ar_(i) ^(j) multiplied by the vector(x_(i) ^(j)−x_(i) ^(j−1)) over all the uplink paths for the leaf nodes(i) and over all the levels (j) of the DAG 200 and sums the results todetermine the amount of computing resources to be utilized by thecombination of candidate task assignments at each device in the cloudcomputing environment 100. If the computing resource capacities of noneof the devices are exceeded by the computing resources to be utilized bythe combination of candidate task assignments, then the constraintevaluator 440 determines the resource utilization constraint 510 issatisfied. Otherwise, if any of the computing resource capacities of thedevices are exceeded, the constraint evaluator 440 determines theresource utilization constraint 510 is not satisfied.

As illustrated in the example of FIG. 9, the example constraintevaluator 440 evaluates another example matrix-based equation todetermine whether the bandwidth utilization constraint 515 is satisfied.Evaluation of the matrix-based equation for the bandwidth utilizationconstraint 515 involves multiplying a matrix Ae_(i) ^(j) by the vectorx_(i) ^(j) at each node in the DAG in the uplink path (i) and DAG level(j) associated the leaf node (i) in the DAG 200. The matrix Ae_(i) ^(j)is an M×(N+1) matrix, with the rows corresponding to respective nodes inthe DAG 200 (representing the devices in the cloud computing environment100), and the columns corresponding to the bandwidth requirements forthe sequence of analytics processing tasks to be performed on the videosource data generated by leaf nodes (i). The matrix Ae_(i) ^(j) is asparse matrix, with the rows having zero values unless the particularrow of the matrix corresponds to the device at the (i, j) position inthe DAG 200 (e.g., if D_(j) ^((i))=D_(k) in FIG. 9). The vector x_(i)^(j) is the last task assignment vector for the node at the position jin the DAG 200. As shown in FIG. 9, the constraint evaluator 440evaluates the matrix Ae_(i) ^(j) multiplied by the vector x_(i) ^(j)over all the uplink paths for the leaf nodes (i) and over all the levels(j) of the DAG 200 and sums the results to determine the amount ofbandwidth to be utilized by the combination of candidate taskassignments at the output of each device in the cloud computingenvironment 100. If the bandwidth capacities of none of the paths at theoutputs of the devices are exceeded by the bandwidth to be utilized bythe combination of candidate task assignments, then the constraintevaluator 440 determines the bandwidth utilization constraint 515 issatisfied. Otherwise, if any of the bandwidth capacities are exceeded,the constraint evaluator 440 determines the bandwidth utilizationconstraint 515 is not satisfied.

Assuming the constraint evaluator 440 determines the resourceutilization constraint 510 and the bandwidth utilization constraint 515are satisfied for a given combination of candidate task assignments, theexample task assignment selector 445 then evaluates the example upstreamcost 505 for the combination of candidate task assignments. Asillustrated in the example of FIG. 6, the example task assignmentselector 445 evaluates another example matrix-based equation todetermine the upstream cost 505 of the given combination of candidatetask assignments determined for the current processing iteration. In theillustrated example of FIG. 6, the upstream cost 505 corresponds to theoverall bandwidth utilized by the combination of candidate taskassignments in the cloud computing environment 100, but additionaland/or alternative costs can be evaluated by the task assignmentselector 445. Evaluation of the matrix-based equation for the upstreamcost 505 involves multiplying a vector c by the vector x_(i) ^(j) ateach node in the DAG in the uplink path (i) and DAG level (j) associatedthe leaf node (i) in the DAG 200. The vector c is an (N+1)×1 vector,with the elements corresponding to the respective bandwidths utilized bythe respective tasks in the modified task sequence T′: ST₀→ST₁→ST₂→ . .. →ST_(N). The vector x_(i) ^(j) is the last task assignment vector forthe node at the position j in the DAG 200. As shown in FIG. 6, theconstraint evaluator 440 evaluates the vector c multiplied by the vectorx_(i) ^(j) over all the uplink paths for the leaf nodes (i) and over allthe levels (j) of the DAG 200 and sums the results to determine theoverall amount of bandwidth to be utilized by the combination ofcandidate task assignments in the cloud computing environment 100.

In the illustrated example, the task assignment selector 445 comparesthe upstream cost 505 determined for the combination of candidate taskassignments determined in the current processing iterations with theupstream cost 505, if any, for another combination of candidate taskassignments determined in a prior processing iteration. If thecombination of candidate task assignments for the current processingiteration results in a reduced upstream cost 505, the task assignmentselector 445 retains the current combination of candidate taskassignments and discards the prior combination. In some examples, thetask assignment selector 445 repeats this processing for each iterationof the candidate assignment determiner 435 determining a differentcombination of candidate task assignments. After the processingiterations are completed, the task assignment selector 445 will haveretained the combination of candidate task assignments yielding the best(e.g., lowest or minimum) upstream cost 505. The task assignmentselector 445 outputs this combination of candidate task assignments asthe resulting distributed assignment 110 for assigning the respectivesequences of video analytics tasks identified in the applicationcharacteristics 415 to the devices 115, 125 and 120 in the cloudcomputing environment 100. For example, the task assignment selector 445can display and/or otherwise output the resulting distributed assignment110 via the user interface 405. Additionally or alternatively, in someexamples, the task assignment selector 445 outputs, via one or morecommands, messages, configuration files, etc., the resulting distributedassignment 110 to the devices 115, 125 and 120 in the cloud computingenvironment 100 to configure the devices 115, 125 and 120 to executetheir respective assigned video analytics processing tasks, if any.

While an example manner of implementing the example video analytics taskscheduler 400 is illustrated in FIG. 4, one or more of the elements,processes and/or devices illustrated in FIG. 4 may be combined, divided,re-arranged, omitted, eliminated and/or implemented in any other way.Further, the example user interface 405, the example network topology410, the example application characteristics 415, the example storage420, the example directed acyclic graph determiner 425, the example taskordering specifier 430, the example candidate assignment determiner 435,the example constraint evaluator 440, the example task assignmentselector 445 and/or, more generally, the example video analytics taskscheduler 400 of FIG. 4 may be implemented by hardware, software,firmware and/or any combination of hardware, software and/or firmware.Thus, for example, any of the example user interface 405, the examplenetwork topology 410, the example application characteristics 415, theexample storage 420, the example directed acyclic graph determiner 425,the example task ordering specifier 430, the example candidateassignment determiner 435, the example constraint evaluator 440, theexample task assignment selector 445 and/or, more generally, the examplevideo analytics task scheduler 400 could be implemented by one or moreanalog or digital circuit(s), logic circuits, programmable processor(s),application specific integrated circuit(s) (ASIC(s)), programmable logicdevice(s) (PLD(s)) and/or field programmable logic device(s) (FPLD(s)).When reading any of the apparatus or system claims of this patent tocover a purely software and/or firmware implementation, at least one ofthe example video analytics task scheduler 400, the example userinterface 405, the example network topology 410, the example applicationcharacteristics 415, the example storage 420, the example directedacyclic graph determiner 425, the example task ordering specifier 430,the example candidate assignment determiner 435, the example constraintevaluator 440 and/or the example task assignment selector 445 is/arehereby expressly defined to include a tangible computer readable storagedevice or storage disk such as a memory, a digital versatile disk (DVD),a compact disk (CD), a Blu-ray disk, etc. storing the software and/orfirmware. Further still, the example video analytics task scheduler 400may include one or more elements, processes and/or devices in additionto, or instead of, those illustrated in FIG. 4, and/or may include morethan one of any or all of the illustrated elements, processes anddevices.

A flowchart representative of an example process for implementing theexample video analytics task scheduler 400, the example user interface405, the example network topology 410, the example applicationcharacteristics 415, the example storage 420, the example directedacyclic graph determiner 425, the example task ordering specifier 430,the example candidate assignment determiner 435, the example constraintevaluator 440 and/or the example task assignment selector 445 is shownin FIG. 10. In some examples, the machine readable instructions compriseone or more programs for execution by a processor, such as the processor1112 shown in the example processor platform 1100 discussed below inconnection with FIG. 11. The one or more programs, or portion(s)thereof, may be embodied in software stored on a tangible computerreadable storage medium such as a CD-ROM, a floppy disk, a hard drive, adigital versatile disk (DVD), a Blu-ray Disk™, or a memory associatedwith the processor 1112, but the entire program or programs and/orportions thereof could alternatively be executed by a device other thanthe processor 1112 and/or embodied in firmware or dedicated hardware(e.g., implemented by an ASIC, a PLD, an FPLD, discrete logic, etc.).Further, although the example hardware operations and/or machinereadable instructions are described with reference to the flowchartillustrated in FIG. 10, many other methods of implementing the examplevideo analytics task scheduler 400, the example user interface 405, theexample network topology 410, the example application characteristics415, the example storage 420, the example directed acyclic graphdeterminer 425, the example task ordering specifier 430, the examplecandidate assignment determiner 435, the example constraint evaluator440 and/or the example task assignment selector 445 may alternatively beused. For example, with reference to the flowchart illustrated in FIG.10, the order of execution of the blocks may be changed, and/or some ofthe blocks described may be changed, eliminated, combined and/orsubdivided into multiple blocks.

As mentioned above, the example process of FIG. 10 may be implementedusing coded instructions (e.g., computer and/or machine readableinstructions) stored on a tangible computer readable storage medium suchas a hard disk drive, a flash memory, a read-only memory (ROM), acompact disk (CD), a digital versatile disk (DVD), a cache, arandom-access memory (RAM) and/or any other storage device or storagedisk in which information is stored for any duration (e.g., for extendedtime periods, permanently, for brief instances, for temporarilybuffering, and/or for caching of the information). As used herein, theterm tangible computer readable storage medium is expressly defined toinclude any type of computer readable storage device and/or storage diskand to exclude propagating signals and to exclude transmission media. Asused herein, “tangible computer readable storage medium” and “tangiblemachine readable storage medium” are used interchangeably. Additionallyor alternatively, the example process of FIG. 10 may be implementedusing coded instructions (e.g., computer and/or machine readableinstructions) stored on a non-transitory computer and/or machinereadable medium such as a hard disk drive, a flash memory, a ROM, a CD,a DVD, a cache, a RAM and/or any other storage device or storage disk inwhich information is stored for any duration (e.g., for extended timeperiods, permanently, for brief instances, for temporarily buffering,and/or for caching of the information). As used herein, the termnon-transitory computer readable medium is expressly defined to includeany type of computer readable storage device and/or storage disk and toexclude propagating signals and to exclude transmission media. As usedherein, when the phrase “at least” is used as the transition term in apreamble of a claim, it is open-ended in the same manner as the terms“comprising” and “including” are open ended. Also, as used herein, theterms “computer readable” and “machine readable” are consideredequivalent unless indicated otherwise.

An example program 1000 may be executed to implement the example videoanalytics task scheduler 400, is illustrated in FIG. 10. With referenceto the preceding figures and associated written descriptions, theexample program 1000 of FIG. 10 begins execution at block 1005 at whichthe example user interface 405 of the video analytics task scheduler 400obtains the network topology 410 for the cloud computing environment100, as described above. At block 1010, the example directed acyclicgraph determiner 425 of the video analytics task scheduler 400 uses thenetwork topology 410 to determine, as described above, a directedacyclic graph, such as the example DAG 200, representing the devices anduplink data paths from the video sources 115 to the cloud computingplatform 120 of the cloud computing environment 100. At block 1015, theexample user interface 405 obtains, as described above, the applicationcharacteristics 415 specifying the respective sequences of videoanalytics processing tasks to be executed in the cloud computingenvironment 100 on the video data associated with the respective videosources 115. At block 1020, the example task ordering specifier 430 ofthe video analytics task scheduler 400 determines task orderings for therespective sequences of video analytics processing tasks specified inthe application characteristics 415.

Next, at block 1025, the example candidate assignment determiner 435 ofthe video analytics task scheduler 400 begins a set of processingiterations to determine respective candidate assignments that assignnodes of the DAG 200 to execute tasks in the respective sequences ofvideo analytics tasks for the respective video sources 115. For example,and as described above, at block 1025 the candidate assignmentdeterminer 435 determines, for each video source 115 represented by anleaf node of the DAG 200, a respective candidate assignment of thedevices in the cloud computing environment 100 to the tasks in thesequence of video analytics tasks for that source such that thecandidate assignment satisfies the task ordering for the sequence ofvideo analytics tasks along the source's uplink data path in the DAG200. At block 1030, the example constraint evaluator 440 of the videoanalytics task scheduler 400 determines, as described above, whether theexample resource utilization constraint 510 and the example bandwidthutilization constraint 515 are satisfied for the combination ofcandidate task assignments determined at block 1025 for the group ofvideo sources 115 in the cloud computing environment 100. If theconstraints are not satisfied (block 1035), processing returns to block1025 at which the candidate assignment determiner 435 determines adifferent combination of candidate task assignments for the group ofvideo sources 115. However, if the constraints are satisfied (block1035), processing proceeds to block 1040.

At block 1040, the example task assignment selector 445 of the videoanalytics task scheduler 400 evaluates, as described above, the exampleupstream cost 505 for the combination of candidate task assignmentsdetermined at block 1025. At block 1045, the task assignment selector445 compares, as described above, the upstream cost 505 determined forthe current combination of candidate task assignments with the upstreamcost 505, if any, for another combination of candidate task assignmentsdetermined in a prior processing iteration. If the current combinationof candidate task assignments does not exhibit a reduced upstream cost505 (block 1045), processing returns to block 1025 at which thecandidate assignment determiner 435 determines a different combinationof candidate task assignments for the group of video sources 115.However, if the current combination of candidate task assignments doesexhibit a reduced upstream cost 505 (block 1045), at block 1050 the taskassignment selector 445 retains the current combination of candidatetask assignments and discards the prior combination, as described above.If there are other combinations of candidate task assignments toevaluate (block 1055), processing returns to block 1025 at which thecandidate assignment determiner 435 determines a different combinationof candidate task assignments for the group of video sources 115.Otherwise, at block 1060, the task assignment selector 445 outputs, asdescribed above, the final retained combinations of candidate taskassignments as the distributed assignment 110 for assigning therespective sequences of video analytics tasks identified in theapplication characteristics 415 to the devices 115, 125 and 120 in thecloud computing environment 100. Execution of the example program 1000then ends

FIG. 11 is a block diagram of an example processor platform 1100 capableof executing the instructions of FIG. 10 to implement the example videoanalytics task scheduler 400 of FIG. 4. The processor platform 1100 canbe, for example, a server, a personal computer, a mobile device (e.g., acell phone, a smart phone, a tablet such as an iPad™), a personaldigital assistant (PDA), an Internet appliance, etc., or any other typeof computing device.

The processor platform 1100 of the illustrated example includes aprocessor 1112. The processor 1112 of the illustrated example ishardware. For example, the processor 1112 can be implemented by one ormore integrated circuits, logic circuits, microprocessors or controllersfrom any desired family or manufacturer. In the illustrated example ofFIG. 11, the processor 1112 is configured via example instructions 1132,which include one or more the example instructions of FIG. 10, toimplement the example directed acyclic graph determiner 425, the exampletask ordering specifier 430, the example candidate assignment determiner435, the example constraint evaluator 440 and/or the example taskassignment selector 445 of FIG. 4.

The processor 1112 of the illustrated example includes a local memory1113 (e.g., a cache). The processor 1112 of the illustrated example isin communication with a main memory including a volatile memory 1114 anda non-volatile memory 1116 via a link 1118. The link 1118 may beimplemented by a bus, one or more point-to-point connections, etc., or acombination thereof. The volatile memory 1114 may be implemented bySynchronous Dynamic Random Access Memory (SDRAM), Dynamic Random AccessMemory (DRAM), RAMBUS Dynamic Random Access Memory (RDRAM) and/or anyother type of random access memory device. The non-volatile memory 1116may be implemented by flash memory and/or any other desired type ofmemory device. Access to the main memory 1114, 1116 is controlled by amemory controller.

The processor platform 1100 of the illustrated example also includes aninterface circuit 1120. The interface circuit 1120 may be implemented byany type of interface standard, such as an Ethernet interface, auniversal serial bus (USB), and/or a PCI express interface.

In the illustrated example, one or more input devices 1122 are connectedto the interface circuit 1120. The input device(s) 1122 permit(s) a userto enter data and commands into the processor 1112. The input device(s)can be implemented by, for example, an audio sensor, a microphone, acamera (still or video), a keyboard, a button, a mouse, a touchscreen, atrack-pad, a trackball, a trackbar (such as an isopoint), a voicerecognition system and/or any other human-machine interface. Also, manysystems, such as the processor platform 1100, can allow the user tocontrol the computer system and provide data to the computer usingphysical gestures, such as, but not limited to, hand or body movements,facial expressions, and face recognition.

One or more output devices 1124 are also connected to the interfacecircuit 1120 of the illustrated example. The output devices 1124 can beimplemented, for example, by display devices (e.g., a light emittingdiode (LED), an organic light emitting diode (OLED), a liquid crystaldisplay, a cathode ray tube display (CRT), a touchscreen, a tactileoutput device, a printer and/or speakers). The interface circuit 1120 ofthe illustrated example, thus, typically includes a graphics drivercard, a graphics driver chip or a graphics driver processor.

In the illustrated example of FIG. 11, the interface circuit 1120further utilized one or more of the input devices 1122 and/or the outputdevices 1124 to implement the example user interface 405 of FIG. 4.

The interface circuit 1120 of the illustrated example also includes acommunication device such as a transmitter, a receiver, a transceiver, amodem and/or network interface card to facilitate exchange of data withexternal machines (e.g., computing devices of any kind) via a network1126 (e.g., an Ethernet connection, a digital subscriber line (DSL), atelephone line, coaxial cable, a cellular telephone system, etc.).

The processor platform 1100 of the illustrated example also includes oneor more mass storage devices 1128 for storing software and/or data.Examples of such mass storage devices 1128 include floppy disk drives,hard drive disks, compact disk drives, Blu-ray disk drives, RAID(redundant array of independent disks) systems, and digital versatiledisk (DVD) drives. In the illustrated example of FIG. 11, one or more ofthe mass storage devices 1128 stores the example network topology 410and the example application characteristics 415.

Coded instructions 1132 corresponding to the instructions of FIG. 10 maybe stored in the mass storage device 1128, in the volatile memory 1114,in the non-volatile memory 1116, in the local memory 1113 and/or on aremovable tangible computer readable storage medium, such as a CD or DVD1136.

The foregoing disclosure provides examples of distributing assignment ofvideo analytics tasks in an example cloud computing environment 100 toreduce bandwidth utilization. However, the disclosure is not limitedthereto. For example, although example distributed video analytics taskassignment procedures were described from the perspective of an examplelicense plate recognition application, such procedures are not limitedthereto. Rather, distributed video analytics task assignment proceduresas disclosed herein can be used to distribute assignment of videoanalytics processing tasks in a cloud computing environment for anyvideo analytics processing application exhibiting the model ordering,model parallelism and data parallelism properties described above.Moreover, the distributed task assignment procedures can be applied todistribute assignment of tasks in a cloud computing environment for anyworkload (and not just video analytics workloads) exhibiting the modelordering, model parallelism and data parallelism properties describedabove.

The following further examples, which include subject matter such as atask assignment method for video analytics processing in a cloudcomputing environment, means for assigning video analytics processingtasks in a cloud computing environment, at least one computer-readablemedium including instructions that, when executed by a processor, causethe processor to assign video analytics processing tasks in a cloudcomputing environment, and an apparatus and/or a system for assigningvideo analytics processing tasks in a cloud computing environment aredisclosed herein. The disclosed examples can be implemented individuallyand/or in one or more combinations.

Example 1 is an apparatus to perform task assignment for video analyticsprocessing in a cloud computing environment. The apparatus of example 1includes a directed acyclic graph determiner to determine a directedacyclic graph including nodes and edges to represent a plurality ofvideo sources, a cloud computing platform, and a plurality ofintermediate network devices in the cloud computing environment, theplurality of intermediate network devices to communicate data from thevideo sources to the cloud computing platform. The apparatus of example1 also includes a task ordering specifier to specify task orderings forrespective sequences of video analytics processing tasks to be executedin the cloud computing environment on respective video source datagenerated by respective ones of the video sources. The apparatus ofexample 1 further includes a task scheduler to assign, based on thedirected acyclic graph and the task orderings, combinations of the videosources, the intermediate network devices and the cloud computingplatform to execute the respective sequences of video analyticsprocessing tasks to reduce an overall bandwidth utilized by thesequences of video analytics processing tasks in the cloud computingenvironment.

Example 2 includes the subject matter of example 1, wherein the nodes ofthe directed acyclic graph include a root node to represent the cloudcomputing platform, leaf nodes to represent the video source devices,and intermediate nodes to represent the intermediate network devices;and the edges of the directed acyclic graph include a first set of edgesrepresenting available communication paths between the video sourcedevices and the intermediate network devices, and a second set of edgesrepresenting available communication paths between the intermediatenetwork devices and the cloud computing platform in the cloud computingenvironment.

Example 3 includes the subject matter of example 2, wherein for eachleaf node, the directed acyclic graph defines one respective uplink datapath from that leaf node to the cloud computing platform.

Example 4 includes the subject matter of example 3, wherein a first leafnode of the directed acyclic graph corresponds to a first video source,a first combination of nodes defines a first uplink path from the firstleaf node to the cloud computing platform, and the task scheduler is toassign at least some of the first combination of nodes included in thefirst uplink path to execute a first one of the sequences of videoanalytics processing tasks to preserve, along the first uplink path, afirst task ordering for the first one of the sequences of videoanalytics processing tasks.

Example 5 includes the subject matter of example 4, wherein tasksordered later in the first task ordering for the first one of thesequences of video analytics processing tasks are associated with lowerbandwidth utilization than tasks ordered earlier in the first taskordering for the first one of the sequences of video analyticsprocessing tasks, and the task scheduler is further to: (1) assign afirst node in the first combination of nodes to execute a first task inthe first one of the sequences of video analytics processing tasks, thefirst node at a first position of the first uplink path; (2) assign asecond node in the first combination of nodes to execute a second taskin the first one of the sequences of video analytics processing tasks,the second node at a second position of the first uplink path subsequentto the first position; and (3) assign the second node to execute eachother task in the first one of the sequences of video analyticsprocessing tasks ordered between the first task and the second task inthe first task ordering.

Example 6 includes the subject matter of any one of example 1 to 5,wherein the task scheduler is further to assign the combinations of thevideo sources, the intermediate network devices and the cloud computingplatform to execute the respective sequences of video analyticsprocessing tasks based on a resource utilization constraint and abandwidth utilization constraint, the resource utilization constraint toensure available processing resources represented by the leaf nodes andthe intermediate nodes of the directed acyclic graph are not exceeded,and the bandwidth utilization constraint to ensure available bandwidthsrepresented by the first set of edges and the second set of edges of thedirected acyclic graph are not exceeded.

Example 7 includes the subject matter of example 6, wherein the taskscheduler further includes a candidate assignment determiner toiteratively determine different candidate assignments of respectivecombination of the video sources, the intermediate network devices andthe cloud computing platform to execute the respective sequences ofvideo analytics processing tasks associated with the video sources. Thetask scheduler of example 7 also includes a constraint evaluator to: (1)evaluate a first matrix-based equation for a first one of the candidateassignments to determine whether the first one of the candidateassignments satisfies the resource utilization constraint; and (2)evaluate a second matrix-based equation to determine whether the firstone of the candidate assignments satisfies the bandwidth utilizationconstraint. The task scheduler of example 7 also includes a taskassignment selector to retain the first one of the candidate assignmentswhen the first one of the candidate assignments utilizes a lower overallbandwidth in the cloud computing environment than a prior retainedsecond one of the candidate assignments.

Example 8 includes the subject matter of example 7, wherein theconstraint evaluator is further to: (1) define dummy tasks to representgeneration of the respective video source data by the respective ones ofthe video sources; (2) insert the dummy tasks at initial positions ofthe respective sequences of video analytics processing tasks associatedwith the respective ones of the video sources; and (3) use therespective sequences of video analytics processing tasks updated toinclude the dummy tasks to evaluate the first and second matrix-basedequations.

Example 9 is a task assignment method for video analytics processing ina cloud computing environment. The method of example 9 includesdetermining, by executing an instruction with a processor, a graphincluding nodes and edges to represent a plurality of video sources, acloud computing platform, and a plurality of intermediate networkdevices in the cloud computing environment, the plurality ofintermediate network devices to communicate data from the video sourcesto the cloud computing platform. The method of example 9 also includesspecifying, by executing an instruction with the processor, taskorderings for respective sequences of video analytics processing tasksto be executed in the cloud computing environment on respective videosource data generated by respective ones of the video sources. Themethod of example 9 further includes assigning, by executing aninstruction with the processor and based on the graph and the taskorderings, combinations of the video sources, the intermediate networkdevices and the cloud computing platform to execute the respectivesequences of video analytics processing tasks to reduce an overallbandwidth utilized by the sequences of video analytics processing tasksin the cloud computing environment.

Example 10 includes the subject matter of example 9, wherein the nodesof the graph include a root node to represent the cloud computingplatform, leaf nodes to represent the video source devices, andintermediate nodes to represent the intermediate network devices; andthe edges of the graph include a first set of edges representingavailable communication paths between the video source devices and theintermediate network devices, and a second set of edges representingavailable communication paths between the intermediate network devicesand the cloud computing platform in the cloud computing environment

Example 11 includes the subject matter of example 10, wherein the graphis a directed acyclic graph and, for each leaf node, the directedacyclic graph defines one respective uplink data path from that leafnode to the cloud computing platform.

Example 12 includes the subject matter of example 11, wherein a firstleaf node of the directed acyclic graph corresponds to a first videosource, a first combination of nodes defines a first uplink path fromthe first leaf node to the cloud computing platform, and the assigningincludes assigning at least some of the first combination of nodesincluded in the first uplink path to execute a first one of thesequences of video analytics processing tasks to preserve, along thefirst uplink path, a first task ordering for the first one of thesequences of video analytics processing tasks.

Example 13 includes the subject matter of example 12, wherein tasksordered later in the first task ordering for the first one of thesequences of video analytics processing tasks are associated with lowerbandwidth utilization than tasks ordered earlier in the first taskordering for the first one of the sequences of video analyticsprocessing tasks, and the assigning further includes: (1) assigning afirst node in the first combination of nodes to execute a first task inthe first one of the sequences of video analytics processing tasks, thefirst node at a first position of the first uplink path; (2) assigning asecond node in the first combination of nodes to execute a second taskin the first one of the sequences of video analytics processing tasks,the second node at a second position of the first uplink path subsequentto the first position; and (3) assigning the second node to execute eachother task in the first one of the sequences of video analyticsprocessing tasks ordered between the first task and the second task inthe first task ordering.

Example 14 includes the subject matter of any one of examples 9 to 13,wherein the assigning is further based on a resource utilizationconstraint and a bandwidth utilization constraint, the resourceutilization constraint to ensure available processing resourcesrepresented by the leaf nodes and the intermediate nodes of the graphare not exceeded, and the bandwidth utilization constraint to ensureavailable bandwidths represented by the first set of edges and thesecond set of edges of the graph are not exceeded.

Example 15 includes the subject matter of example 14, wherein theassigning further includes: (1) iteratively determining differentcandidate assignments of respective combination of the video sources,the intermediate network devices and the cloud computing platform toexecute the respective sequences of video analytics processing tasksassociated with the video sources; and (2) for a first one of thecandidate assignments: (a) evaluating a first matrix-based equation todetermine whether the first one of the candidate assignments satisfiesthe resource utilization constraint; (b) evaluating a secondmatrix-based equation to determine whether the first one of thecandidate assignments satisfies the bandwidth utilization constraint;and (c) retaining the first one of the candidate assignments when thefirst one of the candidate assignments utilizes a lower overallbandwidth in the cloud computing environment than a prior retainedsecond one of the candidate assignments.

Example 16 includes the subject matter of example 15, wherein theassigning further includes: (1) defining dummy tasks to representgeneration of the respective video source data by the respective ones ofthe video sources; (2) inserting the dummy tasks at initial positions ofthe respective sequences of video analytics processing tasks associatedwith the respective ones of the video sources; and (3) using therespective sequences of video analytics processing tasks updated toinclude the dummy tasks to evaluate the first and second matrix-basedequations.

Example 17 is a tangible computer readable storage medium includingcomputer readable instructions which, when executed, cause a processorto at least: (1) determine a directed acyclic graph including nodes andedges to represent a plurality of video sources, a cloud computingplatform, and a plurality of intermediate network devices in a cloudcomputing environment, the plurality of intermediate network devices tocommunicate data from the video sources to the cloud computing platform;(2) specify task orderings for respective sequences of video analyticsprocessing tasks to be executed in the cloud computing environment onrespective video source data generated by respective ones of the videosources; and (3) assign, based on the directed acyclic graph and thetask orderings, combinations of the video sources, the intermediatenetwork devices and the cloud computing platform to execute therespective sequences of video analytics processing tasks.

Example 18 includes the subject matter of example 17, wherein the nodesof the directed acyclic graph include a root node to represent the cloudcomputing platform, leaf nodes to represent the video source devices,and intermediate nodes to represent the intermediate network devices;and the edges of the directed acyclic graph include a first set of edgesrepresenting available communication paths between the video sourcedevices and the intermediate network devices, and a second set of edgesrepresenting available communication paths between the intermediatenetwork devices and the cloud computing platform in the cloud computingenvironment.

Example 19 includes the subject matter of example 18, wherein for eachleaf node, the directed acyclic graph defines one respective uplink datapath from that leaf node to the cloud computing platform.

Example 20 includes the subject matter of example 19, wherein a firstleaf node of the directed acyclic graph corresponds to a first videosource, a first combination of nodes defines a first uplink path fromthe first leaf node to the cloud computing platform, and theinstructions, when executed, further cause the processor to assign atleast some of the first combination of nodes included in the firstuplink path to execute a first one of the sequences of video analyticsprocessing tasks to preserve, along the first uplink path, a first taskordering for the first one of the sequences of video analyticsprocessing tasks.

Example 21 includes the subject matter of example 20, wherein tasksordered later in the first task ordering for the first one of thesequences of video analytics processing tasks are associated with lowerbandwidth utilization than tasks ordered earlier in the first taskordering for the first one of the sequences of video analyticsprocessing tasks, and the instructions, when executed, further cause theprocessor to: (1) assign a first node in the first combination of nodesto execute a first task in the first one of the sequences of videoanalytics processing tasks, the first node at a first position of thefirst uplink path; (2) assign a second node in the first combination ofnodes to execute a second task in the first one of the sequences ofvideo analytics processing tasks, the second node at a second positionof the first uplink path subsequent to the first position; and (3)assign the second node to execute each other task in the first one ofthe sequences of video analytics processing tasks ordered between thefirst task and the second task in the first task ordering.

Example 22 includes the subject matter of any one of examples 17 to 21,wherein the instructions, when executed, further cause the processor toassign the combinations of the video sources, the intermediate networkdevices and the cloud computing platform to execute the respectivesequences of video analytics processing tasks based on a resourceutilization constraint and a bandwidth utilization constraint, theresource utilization constraint to ensure available processing resourcesrepresented by the leaf nodes and the intermediate nodes of the directedacyclic graph are not exceeded, and the bandwidth utilization constraintto ensure available bandwidths represented by the first set of edges andthe second set of edges of the directed acyclic graph are not exceeded.

Example 23 includes the subject matter of example 22, wherein theinstructions, when executed, further cause the processor to: (1)iteratively determine different candidate assignments of respectivecombination of the video sources, the intermediate network devices andthe cloud computing platform to execute the respective sequences ofvideo analytics processing tasks associated with the video sources; and(2) for a first one of the candidate assignments: (a) evaluate a firstmatrix-based equation to determine whether the first one of thecandidate assignments satisfies the resource utilization constraint; (b)evaluate a second matrix-based equation to determine whether the firstone of the candidate assignments satisfies the bandwidth utilizationconstraint; and (c) retain the first one of the candidate assignmentswhen the first one of the candidate assignments utilizes a lower overallbandwidth in the cloud computing environment than a prior retainedsecond one of the candidate assignments.

Example 24 includes the subject matter of example 23, wherein theinstructions, when executed, further cause the processor to: (1) definedummy tasks to represent generation of the respective video source databy the respective ones of the video sources; (2) insert the dummy tasksat initial positions of the respective sequences of video analyticsprocessing tasks associated with the respective ones of the videosources; and (3) use the respective sequences of video analyticsprocessing tasks updated to include the dummy tasks to evaluate thefirst and second matrix-based equations.

Example 25 is a tangible computer readable storage medium includingcomputer readable instructions which, when executed, cause a processorto perform the method defined of any one of examples 9 to 16.

Example 26 is an apparatus including a processor to perform the methoddefined of any one of examples 9 to 16.

Example 27 is a system to perform task assignment for video analyticsprocessing in a cloud computing environment. The system of example 27includes means for determining a graph including nodes and edges torepresent a plurality of video sources, a cloud computing platform, anda plurality of intermediate network devices in the cloud computingenvironment, the plurality of intermediate network devices tocommunicate data from the video sources to the cloud computing platform.The system of example 27 also includes means for specifying taskorderings for respective sequences of video analytics processing tasksto be executed in the cloud computing environment on respective videosource data generated by respective ones of the video sources. Thesystem of example 27 further includes means for assigning, based on thegraph and the task orderings, combinations of the video sources, theintermediate network devices and the cloud computing platform to executethe respective sequences of video analytics processing tasks to reducean overall bandwidth utilized by the sequences of video analyticsprocessing tasks in the cloud computing environment.

Example 28 includes the subject matter of example 27, wherein the nodesof the graph include a root node to represent the cloud computingplatform, leaf nodes to represent the video source devices, andintermediate nodes to represent the intermediate network devices; andthe edges of the graph include a first set of edges representingavailable communication paths between the video source devices and theintermediate network devices, and a second set of edges representingavailable communication paths between the intermediate network devicesand the cloud computing platform in the cloud computing environment.

Example 29 includes the subject matter of example 28, wherein the graphis a directed acyclic graph and, for each leaf node, the directedacyclic graph defines one respective uplink data path from that leafnode to the cloud computing platform.

Example 30 includes the subject matter of example 29, wherein a firstleaf node of the directed acyclic graph corresponds to a first videosource, a first combination of nodes defines a first uplink path fromthe first leaf node to the cloud computing platform, and the means forassigning include means for assigning at least some of the firstcombination of nodes included in the first uplink path to execute afirst one of the sequences of video analytics processing tasks topreserve, along the first uplink path, a first task ordering for thefirst one of the sequences of video analytics processing tasks.

Example 31 includes the subject matter of example 30, wherein tasksordered later in the first task ordering for the first one of thesequences of video analytics processing tasks are associated with lowerbandwidth utilization than tasks ordered earlier in the first taskordering for the first one of the sequences of video analyticsprocessing tasks, and the means for assigning further include (1) meansfor assigning a first node in the first combination of nodes to executea first task in the first one of the sequences of video analyticsprocessing tasks, the first node at a first position of the first uplinkpath; (2) means for assigning a second node in the first combination ofnodes to execute a second task in the first one of the sequences ofvideo analytics processing tasks, the second node at a second positionof the first uplink path subsequent to the first position; and (3) meansfor assigning the second node to execute each other task in the firstone of the sequences of video analytics processing tasks ordered betweenthe first task and the second task in the first task ordering.

Example 32 includes the subject matter of any one of examples 27 to 31,wherein the means for assigning is further based on a resourceutilization constraint and a bandwidth utilization constraint, theresource utilization constraint to ensure available processing resourcesrepresented by the leaf nodes and the intermediate nodes of the graphare not exceeded, and the bandwidth utilization constraint to ensureavailable bandwidths represented by the first set of edges and thesecond set of edges of the graph are not exceeded.

Example 33 includes the subject matter of example 32, wherein the meansfor assigning further includes: (1) means for iteratively determiningdifferent candidate assignments of respective combination of the videosources, the intermediate network devices and the cloud computingplatform to execute the respective sequences of video analyticsprocessing tasks associated with the video sources; and (2) for a firstone of the candidate assignments: (a) means for evaluating a firstmatrix-based equation to determine whether the first one of thecandidate assignments satisfies the resource utilization constraint; (b)means for evaluating a second matrix-based equation to determine whetherthe first one of the candidate assignments satisfies the bandwidthutilization constraint; and (c) means for retaining the first one of thecandidate assignments when the first one of the candidate assignmentsutilizes a lower overall bandwidth in the cloud computing environmentthan a prior retained second one of the candidate assignments.

Example 34 includes the subject matter of example 33, wherein the meansfor assigning further includes: (1) means for defining dummy tasks torepresent generation of the respective video source data by therespective ones of the video sources; (2) means for inserting the dummytasks at initial positions of the respective sequences of videoanalytics processing tasks associated with the respective ones of thevideo sources; and (3) means for using the respective sequences of videoanalytics processing tasks updated to include the dummy tasks toevaluate the first and second matrix-based equations.

Although certain example methods, apparatus and articles of manufacturehave been disclosed herein, the scope of coverage of this patent is notlimited thereto. On the contrary, this patent covers all methods,apparatus and articles of manufacture fairly falling within the scope ofthe claims of this patent.

What is claimed is:
 1. An apparatus to perform task assignment for videoanalytics processing in a cloud computing environment, the apparatuscomprising: a directed acyclic graph determiner implemented by at leastone of hardware or at least one processor to determine a directedacyclic graph including nodes and edges to represent: (i) a plurality ofvideo sources, (ii) a cloud computing platform, and (iii) a plurality ofintermediate network devices in the cloud computing environment, theplurality of intermediate network devices to communicate data from thevideo sources to the cloud computing platform; a task ordering specifierimplemented by at least one of hardware or the at least one processor tospecify task orderings of respective sequences of video analyticsprocessing tasks to be executed in the cloud computing environment oncorresponding video source data generated by respective ones of thevideo sources; and a task scheduler implemented by at least one ofhardware or the at least one processor to iteratively assign, based onthe directed acyclic graph and the task orderings, combinations of thevideo sources, the intermediate network devices and the cloud computingplatform to execute the respective sequences of video analyticsprocessing tasks on the corresponding video source data generated by therespective ones of the video sources, the combinations of the videosources, the intermediate network devices and the cloud computingplatform to be assigned to satisfy the task orderings along respectivedata paths from the video sources to the cloud computing platform asrepresented in the directed acyclic graph.
 2. The apparatus of claim 1,wherein: the nodes of the directed acyclic graph include a root node torepresent the cloud computing platform, leaf nodes to represent thevideo sources, and intermediate nodes to represent the intermediatenetwork devices; and the edges of the directed acyclic graph include afirst set of edges representing available communication paths betweenthe video sources and the intermediate network devices, and a second setof edges representing available communication paths between theintermediate network devices and the cloud computing platform in thecloud computing environment.
 3. The apparatus of claim 2, wherein, foreach leaf node, the directed acyclic graph defines one respective uplinkdata path from that leaf node to the cloud computing platform.
 4. Theapparatus of claim 3, wherein a first leaf node of the directed acyclicgraph corresponds to a first video source, a first combination of nodesdefines a first uplink data path from the first leaf node to the cloudcomputing platform, and the task scheduler is to assign at least some ofthe first combination of nodes included in the first uplink data path toexecute a first one of the sequences of video analytics processing tasksto preserve, along the first uplink data path, a first task ordering forthe first one of the sequences of video analytics processing tasks. 5.The apparatus of claim 4, wherein tasks ordered later in the first taskordering for the first one of the sequences of video analyticsprocessing tasks are associated with lower bandwidth utilization thantasks ordered earlier in the first task ordering for the first one ofthe sequences of video analytics processing tasks, and the taskscheduler is further to: assign a first one of the nodes in the firstcombination of nodes to execute a first task in the first one of thesequences of video analytics processing tasks, the first node at a firstposition of the first uplink data path; assign a second one of the nodesin the first combination of nodes to execute a second task in the firstone of the sequences of video analytics processing tasks, the secondnode at a second position of the first uplink data path subsequent tothe first position; and assign the second one of the nodes to executeeach other task in the first one of the sequences of video analyticsprocessing tasks ordered between the first task and the second task inthe first task ordering.
 6. The apparatus of claim 1, wherein the taskscheduler is further to assign the combinations of the video sources,the intermediate network devices and the cloud computing platform toexecute the respective sequences of video analytics processing tasksbased on a resource utilization constraint and a bandwidth utilizationconstraint, the resource utilization constraint to ensure availableprocessing resources represented by the leaf nodes and the intermediatenodes of the directed acyclic graph are not exceeded, and the bandwidthutilization constraint to ensure available bandwidths represented by thefirst set of edges and the second set of edges of the directed acyclicgraph are not exceeded.
 7. The apparatus of claim 6, wherein the taskscheduler further includes: a candidate assignment determiner toiteratively determine different candidate assignments of respectivecombination of the video sources, the intermediate network devices andthe cloud computing platform to execute the respective sequences ofvideo analytics processing tasks associated with the video sources; aconstraint evaluator to: evaluate a first matrix-based equation for afirst one of the candidate assignments to determine whether the firstone of the candidate assignments satisfies the resource utilizationconstraint; and evaluate a second matrix-based equation to determinewhether the first one of the candidate assignments satisfies thebandwidth utilization constraint; and a task assignment selector toretain the first one of the candidate assignments when the first one ofthe candidate assignments utilizes a lower overall bandwidth in thecloud computing environment than a prior retained second one of thecandidate assignments.
 8. The apparatus of claim 7, wherein theconstraint evaluator is further to: define dummy tasks to representgeneration of the respective video source data by the respective ones ofthe video sources; insert the dummy tasks at initial positions of therespective sequences of video analytics processing tasks associated withthe respective ones of the video sources; and use the respectivesequences of video analytics processing tasks updated to include thedummy tasks to evaluate the first and second matrix-based equations. 9.A task assignment method for video analytics processing in a cloudcomputing environment, the method comprising: determining, by executingan instruction with a processor, a directed acyclic graph includingnodes and edges to represent: (i) a plurality of video sources, (ii) acloud computing platform, and (iii) a plurality of intermediate networkdevices in the cloud computing environment, the plurality ofintermediate network devices to communicate data from the video sourcesto the cloud computing platform; specifying, by executing an instructionwith the processor, task orderings of respective sequences of videoanalytics processing tasks to be executed in the cloud computingenvironment on respective video source data generated by respective onesof the video sources; and iteratively assigning, by executing aninstruction with the processor and based on the directed acyclic graphand the task orderings, combinations of the video sources, theintermediate network devices and the cloud computing platform to executethe respective sequences of video analytics processing tasks on thecorresponding video source data generated by the respective ones of thevideo sources, the combinations of the video sources, the intermediatenetwork devices and the cloud computing platform being assigned tosatisfy the task orderings along respective data paths from the videosources to the cloud computing platform as represented in the directedacyclic graph.
 10. The method of claim 9, wherein: the nodes of thedirected acyclic graph include a root node to represent the cloudcomputing platform, leaf nodes to represent the video sources, andintermediate nodes to represent the intermediate network devices; andthe edges of the directed acyclic graph include a first set of edgesrepresenting available communication paths between the video sources andthe intermediate network devices, and a second set of edges representingavailable communication paths between the intermediate network devicesand the cloud computing platform in the cloud computing environment. 11.The method of claim 10, wherein, for each leaf node, the directedacyclic graph defines one respective uplink data path from that leafnode to the cloud computing platform.
 12. The method of claim 11,wherein a first leaf node of the directed acyclic graph corresponds to afirst video source, a first combination of nodes defines a first uplinkdata path from the first leaf node to the cloud computing platform, andthe assigning includes assigning at least some of the first combinationof nodes included in the first uplink data path to execute a first oneof the sequences of video analytics processing tasks to preserve, alongthe first uplink data path, a first task ordering for the first one ofthe sequences of video analytics processing tasks.
 13. The method ofclaim 12, wherein tasks ordered later in the first task ordering for thefirst one of the sequences of video analytics processing tasks areassociated with lower bandwidth utilization than tasks ordered earlierin the first task ordering for the first one of the sequences of videoanalytics processing tasks, and the assigning further includes:assigning a first one of the nodes in the first combination of nodes toexecute a first task in the first one of the sequences of videoanalytics processing tasks, the first node at a first position of thefirst uplink data path; assigning a second one of the nodes in the firstcombination of nodes to execute a second task in the first one of thesequences of video analytics processing tasks, the second node at asecond position of the first uplink data path subsequent to the firstposition; and assigning the second one of the nodes to execute eachother task in the first one of the sequences of video analyticsprocessing tasks ordered between the first task and the second task inthe first task ordering.
 14. The method of claim 10, wherein theassigning is further based on a resource utilization constraint and abandwidth utilization constraint, the resource utilization constraint toensure available processing resources represented by the leaf nodes andthe intermediate nodes of the directed acyclic graph are not exceeded,and the bandwidth utilization constraint to ensure available bandwidthsrepresented by the first set of edges and the second set of edges of thedirected acyclic graph are not exceeded.
 15. The method of claim 14,wherein the assigning further includes: iteratively determiningdifferent candidate assignments of respective combination of the videosources, the intermediate network devices and the cloud computingplatform to execute the respective sequences of video analyticsprocessing tasks associated with the video sources; and for a first oneof the candidate assignments: evaluating a first matrix-based equationto determine whether the first one of the candidate assignmentssatisfies the resource utilization constraint; evaluating a secondmatrix-based equation to determine whether the first one of thecandidate assignments satisfies the bandwidth utilization constraint;and retaining the first one of the candidate assignments when the firstone of the candidate assignments utilizes a lower overall bandwidth inthe cloud computing environment than a prior retained second one of thecandidate assignments.
 16. The method of claim 15, wherein the assigningfurther includes: defining dummy tasks to represent generation of therespective video source data by the respective ones of the videosources; inserting the dummy tasks at initial positions of therespective sequences of video analytics processing tasks associated withthe respective ones of the video sources; and using the respectivesequences of video analytics processing tasks updated to include thedummy tasks to evaluate the first and second matrix-based equations. 17.A non-transitory computer readable medium comprising computer readableinstructions which, when executed, cause a processor to at least:determine a directed acyclic graph including nodes and edges torepresent: (i) a plurality of video sources, (ii) a cloud computingplatform, and (iii) a plurality of intermediate network devices in acloud computing environment, the plurality of intermediate networkdevices to communicate data from the video sources to the cloudcomputing platform; specify task orderings of respective sequences ofvideo analytics processing tasks to be executed in the cloud computingenvironment on respective video source data generated by respective onesof the video sources; and iteratively assign, based on the directedacyclic graph and the task orderings, combinations of the video sources,the intermediate network devices and the cloud computing platform toexecute the respective sequences of video analytics processing tasks onthe corresponding video source data generated by the respective ones ofthe video sources, the combinations of the video sources, theintermediate network devices and the cloud computing platform to beassigned to satisfy the task orderings along respective data paths fromthe video sources to the cloud computing platform as represented in thedirected acyclic graph.
 18. The non-transitory computer readable mediumof claim 17, wherein: the nodes of the directed acyclic graph include aroot node to represent the cloud computing platform, leaf nodes torepresent the video sources, and intermediate nodes to represent theintermediate network devices; and the edges of the directed acyclicgraph include a first set of edges representing available communicationpaths between the video sources and the intermediate network devices,and a second set of edges representing available communication pathsbetween the intermediate network devices and the cloud computingplatform in the cloud computing environment.
 19. The non-transitorycomputer readable medium of claim 18, wherein for each leaf node, thedirected acyclic graph defines one respective uplink data path from thatleaf node to the cloud computing platform.
 20. The non-transitorycomputer readable medium of claim 19, wherein a first leaf node of thedirected acyclic graph corresponds to a first video source, a firstcombination of nodes defines a first uplink data path from the firstleaf node to the cloud computing platform, and the instructions, whenexecuted, further cause the processor to assign at least some of thefirst combination of nodes included in the first uplink data path toexecute a first one of the sequences of video analytics processing tasksto preserve, along the first uplink data path, a first task ordering forthe first one of the sequences of video analytics processing tasks. 21.The non-transitory computer readable medium of claim 20, wherein tasksordered later in the first task ordering for the first one of thesequences of video analytics processing tasks are associated with lowerbandwidth utilization than tasks ordered earlier in the first taskordering for the first one of the sequences of video analyticsprocessing tasks, and the instructions, when executed, further cause theprocessor to: assign a first one of the nodes in the first combinationof nodes to execute a first task in the first one of the sequences ofvideo analytics processing tasks, the first node at a first position ofthe first uplink data path; assign a second one of the nodes in thefirst combination of nodes to execute a second task in the first one ofthe sequences of video analytics processing tasks, the second node at asecond position of the first uplink data path subsequent to the firstposition; and assign the second one of the nodes to execute each othertask in the first one of the sequences of video analytics processingtasks ordered between the first task and the second task in the firsttask ordering.
 22. The non-transitory computer readable medium of claim17, wherein the instructions, when executed, further cause the processorto assign the combinations of the video sources, the intermediatenetwork devices and the cloud computing platform to execute therespective sequences of video analytics processing tasks based on aresource utilization constraint and a bandwidth utilization constraint,the resource utilization constraint to ensure available processingresources represented by the leaf nodes and the intermediate nodes ofthe directed acyclic graph are not exceeded, and the bandwidthutilization constraint to ensure available bandwidths represented by thefirst set of edges and the second set of edges of the directed acyclicgraph are not exceeded.
 23. The non-transitory computer readable mediumof claim 22, wherein the instructions, when executed, further cause theprocessor to: iteratively determine different candidate assignments ofrespective combination of the video sources, the intermediate networkdevices and the cloud computing platform to execute the respectivesequences of video analytics processing tasks associated with the videosources; and for a first one of the candidate assignments: evaluate afirst matrix-based equation to determine whether the first one of thecandidate assignments satisfies the resource utilization constraint;evaluate a second matrix-based equation to determine whether the firstone of the candidate assignments satisfies the bandwidth utilizationconstraint; and retain the first one of the candidate assignments whenthe first one of the candidate assignments utilizes a lower overallbandwidth in the cloud computing environment than a prior retainedsecond one of the candidate assignments.
 24. The non-transitory computerreadable medium of claim 23, wherein the instructions, when executed,further cause the processor to: define dummy tasks to representgeneration of the respective video source data by the respective ones ofthe video sources; insert the dummy tasks at initial positions of therespective sequences of video analytics processing tasks associated withthe respective ones of the video sources; and use the respectivesequences of video analytics processing tasks updated to include thedummy tasks to evaluate the first and second matrix-based equations.